File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/betaEquations-A5eknYs1.js
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********************************`),P){case 1:{e=v(["+","*"],k(1),n);break}case 2:{e=v(["*","+"],k(1),n);break}case 3:{e=v(["+","*","-"],k(1),n);break}case 4:{e=v(["-","*","2*x"],k(1),n);break}case 5:{e=x(p("a*x+b=c*x+d",{a:!1,b:!1,c:!1,d:!1,test:"a!=c"}),n);break}case 6:{e=x(p("a*x+b=c*x+d",{a:!1,b:!0,c:!1,d:!0,test:"a!=c"}),n);break}case 7:{e=x(p("a*x+b=c*x+d",{a:!0,b:!0,c:!1,d:!0,test:"a!=c"}),n);break}case 8:{e=x(p("x/a=b/c",{a:!1,b:!0,c:!1,test:"a!= 1 and abs(b)%c!=0"}),n);break}case 9:{e=x(p("-x/a=b/c",{a:!1,b:!0,c:!1,test:"abs(b)%c!=0"}),n);break}case 10:{e=x(p("a/x=b/c",{a:!0,b:!0,c:!1,test:"abs(b)%c!=0"}),n);break}case 11:{e=x(p("(a*x+b)/c=d/e",{a:!0,b:!0,c:!1,d:!0,e:!1,test:"c>1 and a%c!=0 and abs(d)%e!=0"}),n);break}case 12:{e=x(p("a*x+b/c=d/e",{a:!0,b:!0,c:!1,d:!0,e:!1,test:"c>1 and abs(d)%e!=0 and abs(b)%c!=0"}),n);break}case 13:{e=x(p("a/(b*x+c)=d/e",{a:!0,b:!0,c:!0,d:!0,e:!1,test:"abs(d)%e!=0"}),n);break}case 14:{e=x(p("A*x+B=C*x+D",{s:"fraction(randomInt(-9, 9))+fraction(randomInt(-10, 10), 10)",a:"fraction(randomInt(-9, 9))+fraction(randomInt(-10, 10), 10)",b:"fraction(randomInt(-9, 9))+fraction(randomInt(-10, 10), 10)",c:"fraction(randomInt(-9, 9))+fraction(randomInt(-10, 10), 10)",A:"a+b",B:"c",C:"b",D:"a*s+c",test:"A!=0 and D!=0"}),n);break}case 15:{e=x(p("a*(b*x+c)=d*x+e",{a:!0,b:!0,c:!0,d:!0,e:!1,test:"a!=1 and a*b!=d"}),n);break}case 16:{e=x(p("a*x+b*y=c",{a:!0,b:!0,c:!0}),n);break}case 17:{e=x(p("a*x^2+b=a*x*(x+c)",{a:!0,b:!0,c:!0}),n);break}case 18:{e=x(p("x/a=y",{a:!1,test:"a!=1"}),n);break}case 19:{e=s("a/b+c/d",{comment:!0,substeps:!0,variables:r({a:!1,b:"randomInt(2,100)",c:!1,d:"randomInt(2,100)",test:"(d%b==0 or b%d==0) and gcd(a,b)==1 and gcd(c,d)==1"})});break}case 20:{e=s(c("a*x+b*x",r({a:"randomInt(2,100)",b:"randomInt(2,100)"})).toString());break}case 21:{e=s(c("a*x+b*x-c*x",r({a:"randomInt(2,100)",b:"randomInt(2,100)",c:"randomInt(2,100)",test:"a+b>=c"})).toString());break}case 22:{e=s(c("a/b*x+c/d*x",r({a:!1,b:"randomInt(2,100)",c:!1,d:"randomInt(2,100)",test:"(d%b==0 or b%d==0) and gcd(a,b)==1 and gcd(c,d)==1"})).toString());break}case 23:{e=s(c("a*x^2+b*x+c*x^2",r({a:"randomInt(1,20)",b:"randomInt(1,20)",c:"randomInt(1,20)"})).toString());break}case 24:{const t=r({a:"randomInt(1,15)^2",c:"randomInt(1,15)^2",b:"2*sqrt(a)*sqrt(c)"});e=s("a*x^2+c*x+b",{variables:t});break}case 25:{const t=r({a:"randomInt(1,15)^2",c:"randomInt(1,15)^2",b:"2*sqrt(a)*sqrt(c)"});e=s("a*x^2+c*x+b",{variables:t});break}case 26:{e=s(c("a*x^2-b",r({a:"randomInt(1,15)^2",b:"randomInt(1,15)^2"})).toString(),!0);break}case 27:{e=N(["-","*","2*x"],k(1),n);break}case 28:{e=N(["-","*","2*x"],k(1),n);break}case 29:{e=s(c("a+c/d",r({a:!1,b:"randomInt(2,100)",c:!1,d:"randomInt(2,100)",test:"c!=d and c%d!=0"})).toString());break}case 30:{e=s(c("a-c/d",r({a:!1,b:"randomInt(2,100)",c:!1,d:"randomInt(2,100)",test:"c!=d and c%d!=0 and a-c/d>0"})).toString());break}case 31:{e=s(c("a/b-c/d",r({a:!1,b:"randomInt(2,100)",c:!1,d:"randomInt(2,100)",test:"gcd(a,b)==1 and gcd(c,d)==1 and d!=b and (d%b==0 or b%d==0) and a/b-c/d>0"})).toString());break}case 32:{e=x(p("a*x+b>c*x+d",{a:!1,b:!1,c:!1,d:!1,test:"a!=c"}),n);break}case 33:{e=x(p("a*x^2+b*x+c=0",{s:!0,t:!0,a:!0,b:"a*(-s-t)",c:"a*s*t"},n),n);break}case 34:{e=v(["+","*"],k(1),n);break}case 35:{e=N(["*","+"],k(1),n);break}case 36:{e=v(["*","2*x"],k(1),n);break}case 37:{e=v(["-","-2*x"],k(1),n);break}case 38:{e=v(["-","/","x"],k(1),n);break}case 39:{e=A(["-","/","x","*","x^2"],r({a:!0,b:!1,c:"fraction(a,b)",test:"a%b!=0"}).c,n);break}case 40:{e=q(["-","/","*","+"],r({a:!0,b:!1,c:"fraction(a,b)",test:"a%b!=0"}).c,n);break}case 41:{e=q(["-"],r({a:!1}).a,n);break}case 42:{e=q(["-","*"],r({a:!1}).a,n);break}case 43:{e=s(c("(a/b)*(c/d)",r({a:!1,b:"randomInt(2,100)",c:!1,d:"randomInt(2,100)",test:"gcd(a,b)==1 and gcd(c,d)==1 and d!=b and (d%b==0 or b%d==0) and a/b-c/d>0"})).toString({parenthesis:"keep"}));break}case 44:{e=s(c("a*x+b*x",r({a:"round(random(1,10),1)",b:"round(random(-10,10),1)",test:"b!=0 and a+b>0"})).toString());break}case 45:{e=s(c("a*x*b",r({a:!1,b:!1,test:"a>1 and b>1"})).toString());break}case 46:{e=s(c("a*x*b+c*x",r({a:!1,b:!1,c:!0,test:"b>1 and a>1 and a*b+c>0"})).toString());break}case 47:{e=s(c("a*x*b+c*x",r({a:!1,b:!1,c:!0,test:"b>1 and a>1 and a*b+c>0"})).toString());break}case 48:{e=s(c("x*a*x*b",r({a:!1,b:!1,test:"b>1 and a>1"})).toString());break}case 49:{e=s(c("x*a*x+b*x^2",r({a:!1,b:!0,test:"a>1 and a+b>0"})).toString());break}case 50:{e=s(c("a*x*b*x*c*x+d*x^2",r({a:!1,b:!1,c:!1,d:!0,test:"a>1 and b>1 and c>1"})).toString());break}case 51:{e=v(["+","/","-x^2"],k(1),n);break}case 52:{e=v(["*","-x","/"],k(1),n);break}case 53:{e=v(["/","-x","*"],k(1),n);break}case 54:{e=A(["+","*","-"],r({a:!0}).a,n);break}case 55:{e=q(["*","-","/"],r({a:!0}).a,n);break}case 56:{e=q(["+","*","-"],r({a:!0}).a,n);break}case 57:{e=s(c("a/b+c/d",r({a:!0,b:"randomInt(2,100)",c:!0,d:"randomInt(2,100)",test:"(d%b==0 or b%d==0) and gcd(abs(a),b)==1 and gcd(abs(c),d)==1"})).toString());break}case 58:{e=s(c("a+c/d",r({a:!0,b:"randomInt(2,100)",c:!0,d:"randomInt(2,100)",test:"c!=d and c%d!=0"})).toString());break}case 59:{e=s(c("a*x+b*x",r({a:"round(random(-10,10),1)",b:"round(random(-10,10),1)",test:"b!=0 and a!=0"})).toString());break}case 60:{e=s(c("a*x*b",r({a:!0,b:!0,test:"a!= 1 and abs(b)!=1"})).toString());break}case 61:{e=s(c("a*x*b+c*x",r({a:!0,b:!0,c:!0,test:"a!= 1 and b!=1"})).toString());break}case 62:{e=s(c("x*a*x*b",r({a:!0,b:!0,test:"a!=1 and b!=1"})).toString());break}case 63:{e=s(c("x*a*x+b*x^2",r({a:!0,b:!0,test:"a!=1 and b!=1"})).toString());break}case 64:{e=s(c("a*x*b*x*c*x+d*x^2",r({a:!0,b:!0,c:!0,d:!0,test:"a!= 1 and b!=1 and c!=1"})).toString());break}case 65:{e=Z();break}case 66:{e=s(c("a/e*x*b/f*x*c*x+d*x^2",r({a:!0,b:!0,c:!0,d:!0,e:"randomInt(1,10)",f:"randomInt(1,10)",test:"a!= 1 and b!=1 and c!=1"})).toString());break}case 67:{e=A(["+","*","x"],r({a:!0,b:!1,c:"fraction(a,b)",test:"a%b!=0"}).c,n);break}case 68:{e=q(["+","/"],r({a:!0,b:!1,c:"fraction(a,b)",test:"a%b!=0"}).c,n);break}case 69:{e=y(M("(a*x+b)^2+(c*x+d)*(e*x+f)",r({a:!0,b:!0,c:!0,d:!0,e:!0,f:!0})).toString());break}case 70:{e=y(M("(a*x+b)^2+(c*x+d)*(c*x-d)",r({a:!0,b:!0,c:!0,d:!1})).toString());break}case 71:{e=y(M("(8*x-6)^2+(-9*x-2)*(7*x+2)",r({a:!0,b:!0,c:!0,d:!1})).toString());break}case 72:{e=x(p("a*x+b=c",{a:!0,b:!0,c:!0},n),n);break}case 73:{e=x(p("x/a+b=c",{a:!0,b:!0,c:!0},n),n);break}case 74:{e=x(p("c=a*x+b",{a:!0,b:!0,c:!0},n),n);break}case 75:{e=x(p("a*(x+b)=c",{a:"randomInt(2,10)",b:!0,c:!0},n),n);break}case 76:{e=x(p("a*(x+b)+d*x=c",{a:"randomInt(2,10)",b:!0,c:!0,d:!1,test:"a+d!=0"},n),n);break}case 77:{e=x(p("a*x+b=c*x+d",{a:!0,b:!0,c:!0,d:!0,test:"a!=c"},n),n);break}case 78:{e=s(c("a*(b*x+c)+d*x",r({a:!1,b:!0,c:!0,d:!0,test:"a> 1"})).toString());break}case 79:{e=s(c("(a/b)*(a/b)+c/d*(e/f)",r({a:!0,b:"randomInt(2,100)",c:!0,d:"randomInt(2,100)",e:!0,f:!1,test:"(d%b==0 or b%d==0) and gcd(abs(a),b)==1 and gcd(abs(c),d)==1"})).toString());break}case 80:{e=s(c("9*(-2*x)",r({a:!0,b:"randomInt(2,100)",c:!0,d:"randomInt(2,100)",e:!0,f:!1,test:"(d%b==0 or b%d==0) and gcd(abs(a),b)==1 and gcd(abs(c),d)==1"})).toString());break}case 81:{e=s(c("(-8/71)*(-8/71)",r({a:!0,b:"randomInt(2,100)",c:!0,d:"randomInt(2,100)",e:!0,f:!1,test:"(d%b==0 or b%d==0) and gcd(abs(a),b)==1 and gcd(abs(c),d)==1"})).toString());break}case 82:{e=x(p("(-2*x+8)/8=7/2",{a:!0,b:!0,c:!1,d:!0,e:!1,test:"c>1 and a%c!=0 and abs(d)%e!=0"}),n);break}case 83:{e=x(p("-2*x^2-14*x-24=0",{s:!0,t:!0,a:!0,b:"a*(-s-t)",c:"a*s*t"},n),n);break}case 84:{e=x(p("-x/9=-2/3",{a:!1,b:!0,c:!1,test:"abs(b)%c!=0"}),n);break}case 85:{e=s(c("(-2/3)*(-2/3)-4*(-2/3)*(-2/3)",r({a:!0,b:"randomInt(2,100)",c:!0,d:"randomInt(2,100)",e:!0,f:!1,test:"(d%b==0 or b%d==0) and gcd(abs(a),b)==1 and gcd(abs(c),d)==1"})).toString());break}case 86:{e=s(c("(8*x-6)^2+(-9*x-2)*(7*x+2)",r({a:!0,b:!0,c:!0,d:!1})).toString());break}case 87:{e=s(c("(-3)^2",r({a:!0,b:!0,c:!0,d:!1})).toString());break}case 88:{e=s(c("a/d*(b/e)*(c/f)",r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"d>1 and e>1 and f>1"})).toString());break}case 89:{e=s("a/d+8+x+b/e*e-7+(x-3)^2/6",{variables:r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"d>1 and e>1 and f>1"}),valueOf:!0});break}case 90:{e=s(M("nthRoot(4)",r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"d>1 and e>1 and f>1"})).toString());break}case 91:{e=s(M("nthRoot(24)",r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"d>1 and e>1 and f>1"})).toString());break}case 92:{e=x(p("5^2=AB^2+3^2",{a:!1,b:!0,c:!1,test:"abs(b)%c!=0"}),n);break}case 93:{e=x(p("AB^2-3^2=0",{a:!1,b:!0,c:!1,test:"abs(b)%c!=0"}),n);break}case 94:{e=x(p("AB^2-3=0",{a:!1,b:!0,c:!1,test:"abs(b)%c!=0"}),n);break}case 95:{e=s(M("nthRoot(24)",r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"d>1 and e>1 and f>1"})).toString());break}case 96:{e=s("(2*x-3)^2");break}case 97:{e=s("(2*x-3*x)^2");break}case 98:{e=s("a/d+(b/e)",{substeps:!0,variables:r({a:"pickRandom([-1,1])*randomInt(1,20)",b:"pickRandom([-1,1])*randomInt(1,20)",d:"randomInt(1,20)",e:"randomInt(1,20)",test:"d!=e and d>1 and e>1 and a%d!=0 and b%e!=0 and gcd(abs(a),d)==1 and gcd(abs(b),e)==1 and (d%e==0 or e%d==0)"})}),e.texte=`Calculer $${e.printExpression}$`;break}case 99:{e=s("a/d+(b/e)",{substeps:!0,variables:r({a:"pickRandom([-1,1])*randomInt(1,10)",b:"pickRandom([-1,1])*randomInt(1,10)",d:"randomInt(1,10)",e:"randomInt(1,10)",test:"gcd(d,e)==1 and d>1 and e>1 and a%d!=0 and b%e!=0 and gcd(abs(a),d)==1 and gcd(abs(b),e)==1"})}),e.texte=`Calculer $${e.printExpression}$`;break}case 100:{e=s("a+(b/e)",{substeps:!0,variables:r({a:"pickRandom([-1,1])*randomInt(1,20)",b:"pickRandom([-1,1])*randomInt(1,20)",e:"randomInt(1,10)",test:"e>1 and gcd(abs(b),e)==1 and abs(b)>e"})}),e.texte=`Calculer $${e.printExpression}$`;break}case 101:{e=s("(8*x-6)^2",{substeps:!0}),e.texte=`Calculer $${e.printExpression}$`;break}case 102:{e=s("(6*x-7)^2",{comment:!0,substeps:!1});break}case 103:{e={};const t="5+1*4+1*x-1*(x^2+1*3^2+0)+0*4+0*y+(-5)*(-6)+4/1+4/5+4/(-1)+4/(-5)";e.texte=`
$${f(t,{suppr0:!1,suppr1:!1})}$
<br>
$${f(t,{suppr0:!0,suppr1:!0})}$
`,e.texteCorr="";break}case 104:{e={};const t="5+1*4+1*x-1*(x^2+1*3^2+0)+0*4+0*y+(-5)*(-6)+4/1+4/5+4/(-1)+4/(-5)";e.texte=`
$${f(t,{suppr0:!1,suppr1:!1})}$
<br>
$${f(t,{suppr0:!0,suppr1:!0})}$
`,e.texteCorr="";break}case 105:{const t=r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"abs(a)!=d and abs(b)!=e and abs(c)!=f and abs(a)<6 and abs(b)<6 and abs(c)<6 and 1<=d<6 and 1<=e<6 and 1<=f<6 and gcd(abs(a),d)==1 and gcd(abs(b),e)==1 and gcd(abs(c),f)==1"},{valueOf:!0}),a=r(Object.assign(t,{disc:"(b/e)^2-4*(a/d)*(c/f)"}),{valueOf:!1}).disc,b=f(O("a/d*x^2+b/e*x+c/f",[],t),{suppr1:!0}),d=f(O("(b/e)^2-4*(a/d)*(c/f)",[],t),{suppr1:!0}),u=s("(b/e)^2-4*(a/d)*c/f",{comments:!1,mixed:!1,variables:t}).texteCorr;e={},e.texteCorr=`$\\Delta = b^2-4ac=${d}=${f(a.toFraction())}$
<br>
${u}`,e.texte=`Le discriminant de $${b}$ est : `;break}case 106:{const t=r({a:!0,b:!0,c:!0,d:!1,e:!1,f:!1,test:"abs(a)!=d and abs(b)!=e and abs(c)!=f and abs(a)<6 and abs(b)<6 and abs(c)<6 and 1<=d<6 and 1<=e<6 and 1<=f<6 and gcd(abs(a),d)==1 and gcd(abs(b),e)==1 and gcd(abs(c),f)==1"},{valueOf:!0}),a=r(Object.assign(t,{disc:"(b/e)^2-4*(a/d)*(c/f)"}),{valueOf:!1}).disc,b=f(O("a/d*x^2+b/e*x+c/f",[],t),{suppr1:!0}),d=f(O("(b/e)^2-4*(a/d)*(c/f)",[],t),{suppr1:!0}),u=s("(b/e)^2-4*(a/d)*c/f",{comments:!1,mixed:!1,variables:t}).texteCorr;e={},e.texteCorr=`$\\Delta = b^2-4ac=${d}=${f(a.toFraction())}$
<br>
Calcul détaillé :
<br>
${u}`,e.texte=`Le discriminant de $${b}$ est : `;break}case 107:{e=s("(5*x-3)^2",{name:"A"}),e.texte=`Développer puis réduire l'expression suivante : $${e.name}=${e.printExpression}$`,e.texteCorr=this.correctionDetaillee?e.texteCorr:`$${e.name}=${e.printResult}$`;break}case 108:{e={},e.texte=`$${f("(4+(-6)*x)/(-8)=1*x+(-7)/3",{supprPlusMoins:!1})}$`,e.texteCorr="";break}case 109:{e=s("9/2*(4/3+7/8)",{substeps:!0}),e.texte=`Calculer : $${e.printExpression}$`,e.texteCorr=this.correctionDetaillee?e.texteCorr:`$${e.printExpression}=${e.printResult}$`;break}case 110:{e=h("3*x+2=9*x-3",{comment:!0,comments:{CANCEL_MINUSES:"Simplifier l'écriture",SUBTRACT_FROM_BOTH_SIDES:"Enlever {stepChange} à chaque membre.",SIMPLIFY_ARITHMETIC:"",SIMPLIFY_RIGHT_SIDE:"Réduire.",SIMPLIFY_LEFT_SIDE:"Réduire."}}),e.texte=`Résoudre l'équation $${e.equation}$ en détaillant les étapes.`,e.texteCorr+=`
<br>
La solution de cette équation est donc $${e.solution.print}$.
`;break}case 111:{e=h("9*x+2<3*x-3"),e.texte=`Résoudre l'inéquation $${e.equation}$ en détaillant les étapes.`,e.texteCorr+=`
<br>
Les solutions de cette inéquation sont donc tous les nombres $x$ vérifiant $${e.solution.print}$.
`;break}case 112:{e=s("x*x*x"),e.texte=`Calculer : $${e.printExpression}$`,e.texteCorr=this.correctionDetaillee?e.texteCorr:`$${e.printExpression}=${e.printResult}$`;break}case 113:{e=h("9*x+7=6*x-3",{color:"black",comment:!0}),e.texte=`Résoudre : $${e.equation}$`,e.texteCorr=this.correctionDetaillee?e.texteCorr:`La solution est $${e.solution.print}$`;break}case 114:{e=h("9*x+7=6*x-3",{color:"black",comment:!0}),e.texte=`Résoudre : $${e.equation}$`,e.texteCorr=`<br>
${e.texteCorr}<br>
La solution est $${e.solution.print}$.
<br>
Vérification :
<br>
D'une part : $${e.verifLeftSide.printExpression}=${e.verifLeftSide.printResult}$
<br>
D'autre part : $${e.verifRightSide.printExpression}=${e.verifRightSide.printResult}$
`;break}case 115:{const t=r({a:!0,b:!0,c:"randomInt(0,10)"});e={},e.texte=`$${f(`${t.a}+(${t.b})+${t.c}`,{supprPlusMoins:!1})}$`,e.texteCorr="";break}case 116:{e=s("(-4)+(-3)+7",{supprPlusMoins:!1});break}case 117:{e=h("9*x+a=6*x+b",{variables:{a:!0,b:!0},color:"blue",comment:!0}),e.texte=`Résoudre : $${e.equation}$`,e.texteCorr=`
<br>
${e.texteCorr}
<br>
La solution est $${e.solution.print}$.
<br>
Vérification :
<br>
D'une part : $${e.verifLeftSide.printExpression}=${e.verifLeftSide.printResult}$
<br>
D'autre part : $${e.verifRightSide.printExpression}=${e.verifRightSide.printResult}$
`;break}case 118:{e=s("5/2*(7/3+6/8)",{substeps:!0,comment:!0,comments:{MULTIPLY_FRACTIONS:"Multiplier numérateurs et dénominateurs entre eux."}}),e.texte=`Calculer : $${e.printExpression}$`,e.texteCorr=this.correctionDetaillee?"<br>"+e.texteCorr:`$${e.printExpression}=${e.printResult}$`;break}case 119:{e=h("10*x+5=1"),e.texte=`
<br>
Résoudre : $${e.equation}$`,e.texteCorr=this.correctionDetaillee?"<br>"+e.texteCorr:`$${e.printExpression}=${e.printResult}$`,e.texteCorr+=`La solution est $${e.solution.printDecimal}$`;break}case 120:{const t=r({n:"pickRandom([randomInt(2,9), randomInt(11, 99), randomInt(101, 999)])",d:"pickRandom([randomInt(2,9), randomInt(11, 99), randomInt(101, 999)])",p:"randomInt(0,7)",nb:"n+d/pickRandom([10,100,1000])",s:"nb*10^(-p)"},{valueOf:!0,format:!0});e={},e.texte=`$${t.nb} \\times 10^{-${t.p}}$`,e.texteCorr=e.texte,e.texteCorr+=`$=${t.s}$`,e.texte=e.texteCorr;break}case 121:{const t=r({n:"cos(pi/3)",p:w.run("cos(pi/3)")},{valueOf:!1});e={},e.texte=`$${t.n}+${t.p}$`,e.texteCorr=e.texte;break}case 122:{const t=r({a:"randomInt(1,10)",test:"a!=7"},{valueOf:!0});e=h("a*(x+6)-7=7*x-3",{variables:t});break}case 123:{e=h("2/x=3");break}case 124:{const t=[];t.push(s(g(["(a)","(b)"]).join("+"),{variables:{a:"round(random(-10,-1),0)",b:"round(random(1,10),0)"},supprPlusMoins:!1,substeps:!0})),t.push(s(g(["(a)","(b)"]).join("+"),{variables:{a:"round(random(-10,-1),0)",b:"round(random(-10,-1),0)"},supprPlusMoins:!1,substeps:!0})),t.push(s(g(["(a)","(b)"]).join("+"),{variables:{a:"round(random(-10,10),1)",b:"round(random(-10,10),1)",test:"a*b<0 or (a<0 and b<0)"},supprPlusMoins:!1,substeps:!0})),t.push(s(g(["(a)","(b)"]).join("+"),{variables:{a:"round(random(-10,10),1)",b:"round(random(-10,10),1)",test:"a*b<0 or (a<0 and b<0)"},supprPlusMoins:!1,substeps:!0})),e.texte=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ "+a.texte).join("<br>"),e.texteCorr=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ <br>"+a.texteCorr).join("<br>");break}case 125:{const t=[];t.push(s("-3/7-(-4/8)")),t.push(s("-3/7-(0-4/8)"),{suppr0:!0}),t.push(s("-3/7--4/8",{substeps:!0})),e.texte=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ "+a.texte).join("<br>"),e.texteCorr=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ <br>"+a.texteCorr).join("<br>");break}case 126:{const t=[];t.push(s("-3/7--4/8",{substeps:!0})),e.texte=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ "+a.texte).join("<br>"),e.texteCorr=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ <br>"+a.texteCorr).join("<br>");break}case 127:{const t=[];t.push(s("2/3-(-4/8)"),{suppr0:!0}),e.texte=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ "+a.texte).join("<br>"),e.texteCorr=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ <br>"+a.texteCorr).join("<br>");break}case 128:{const t=[];t.push(s("2/3-(-4/8)"),{suppr0:!0}),e.texte=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ "+a.texte).join("<br>"),e.texteCorr=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ <br>"+a.texteCorr).join("<br>");break}case 129:{const t=[];t.push(s(g(["(a)","(b)"]).join("-"),{variables:{a:"round(random(-10,-1),0)",b:"round(random(-10,10),0)",test:"b!=0"},supprPlusMoins:!1,substeps:!0})),t.push(s(g(["(a)","(b)"]).join("-"),{variables:{a:"round(random(-10,-0.1),1)",b:"round(random(0.1,10),1)"},supprPlusMoins:!1,substeps:!0})),t.push(s(g(["(a)","(b)"]).join("-"),{variables:{a:"round(random(-10,-0.1),1)",b:"round(random(-10,10),1)",test:"a*b<0 or (a<0 and b<0)"},supprPlusMoins:!1,substeps:!0})),e.texte=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ "+a.texte).join("<br>"),e.texteCorr=t.map((a,b)=>"$\\textbf{"+(b+1)+".}$ <br>"+a.texteCorr).join("<br>");break}case 130:{const t=[];let a,b,d,u;const m=[],l=["A","B"];a=[],b=r({a:"round(random(1,10),1)",b:"round(random(-10,10),1)",c:"round(random(-10,-1),1)",d:"-b",e:"-c",test:"b!=0 and b!=a and b!=c"}),d=c(g(["(a)","(b)","(c)","(d)","(e)"]).join("+"),b),a.push(d),a.push(c(["(a)","(b)","(d)","(c)","(e)"].join("+"),b)),a.push(I(d).toFixed(1)),u="On peut regrouper les termes opposés pour faciliter les calculs.<br>",t.push({texte:`Calculer $${f(l[0]+"="+d,{supprPlusMoins:!1})}$`,texteCorr:u+a.map(i=>`$${f(l[0]+"="+i,{supprPlusMoins:!1})}$`).join("<br>")}),a=[],b=r({a:"round(random(1,10),1)",b:"round(random(-10,-1),1)",c:"round(random(-10,10),1)",d:"round(random(-10,10),1)",e:"round(random(-10,10),1)"}),d=c(g(["(a)","(b)","(c)","(d)","(e)"]).join("+"),b),a.push(d);let E=k(d);E=E.transform(i=>(i.isParenthesisNode&&m.push(i),i)),m.sort((i,o)=>B(o.content.toString(),i.content.toString())),a.push(m.map(i=>i.toString()).join("+"));let R=I(m.filter(i=>i.content.toString()>0).map(i=>i.toString()).join("+")).toFixed(1),S=m.filter(i=>i.content.toString()<0).map(i=>i.toString()).join("+");a.push(R+"+"+S),R=I(m.filter(i=>i.content.toString()>0).map(i=>i.toString()).join("+")).toFixed(1),S=`(${I(m.filter(i=>i.content.toString()<0).map(i=>i.toString()).join("+")).toFixed(1)})`,a.push(R+"+"+S),a.push(I(d).toFixed(1)),u="On peut additionner les termes positifs entre eux puis les termes négatifs entre eux puis terminer le calcul.<br>",t.push({texte:`Calculer $${f(l[1]+"="+d,{supprPlusMoins:!1})}$`,texteCorr:u+a.map(i=>`$${f(l[1]+"="+i,{supprPlusMoins:!1})}$`).join("<br>")}),e.texte=t.map((i,o)=>"$\\textbf{"+(o+1)+".}$ "+i.texte).join("<br>"),e.texteCorr=t.map((i,o)=>"$\\textbf{"+(o+1)+".}$ <br>"+i.texteCorr).join("<br>");break}case 131:{const t=[];let a,b,d,u,m,l;const E=["A","B"];a=[],l=[],b=r({a:"round(random(-10,10),0)",b:"round(random(-10,10),0)",c:"round(random(1,10),0)",d:"round(random(-10,10),0)",e:"round(random(1,10),0)",test:"a!=0"}),u=c("(a)+(b)-(c)+(d)-(-e)",b),a.push(u),d=c("(a)+(b)+(-c)+(d)+(e)",b),a.push(d);let R=k(d);R=R.transform(o=>(o.isParenthesisNode&&l.push(o),o)),l.sort((o,j)=>B(j.content.toString(),o.content.toString())),a.push(l.map(o=>o.toString()).join("+"));let S=I(l.filter(o=>o.content.toString()>0).map(o=>o.toString()).join("+")).toFixed(1),i=l.filter(o=>o.content.toString()<0).map(o=>o.toString()).join("+");a.push(S+"+"+i),S=I(l.filter(o=>o.content.toString()>0).map(o=>o.toString()).join("+")).toFixed(1),i=`(${I(l.filter(o=>o.content.toString()<0).map(o=>o.toString()).join("+")).toFixed(1)})`,a.push(S+"+"+i),a.push(I(d).toFixed(1)),m="On peut transfomer toutes les soustractions en additions.<br>",t.push({texte:`Calculer $${f(E[0]+"="+u,{supprPlusMoins:!1})}$`,texteCorr:m+a.map(o=>`$${f(E[0]+"="+o,{supprPlusMoins:!1})}$`).join("<br>")}),a=[],l=[],b=r({a:"round(random(-10,10),0)",b:"round(random(-10,10),0)",c:"round(random(1,10),0)",d:"round(random(-10,10),0)",e:"round(random(1,10),0)",test:"a!=0"}),u=c("(a)-(-e)+(b)-(c)+(d)",b),a.push(u),d=c("(a)+(e)+(b)+(-c)+(d)",b),a.push(d),R=k(d),R=R.transform(o=>(o.isParenthesisNode&&l.push(o),o)),l.sort((o,j)=>B(j.content.toString(),o.content.toString())),a.push(l.map(o=>o.toString()).join("+")),S=I(l.filter(o=>o.content.toString()>0).map(o=>o.toString()).join("+")).toFixed(1),i=l.filter(o=>o.content.toString()<0).map(o=>o.toString()).join("+"),a.push(S+"+"+i),S=I(l.filter(o=>o.content.toString()>0).map(o=>o.toString()).join("+")).toFixed(1),i=`(${I(l.filter(o=>o.content.toString()<0).map(o=>o.toString()).join("+")).toFixed(1)})`,a.push(S+"+"+i),a.push(I(d).toFixed(1)),m="On peut transfomer toutes les soustractions en additions.<br>",t.push({texte:`Calculer $${f(E[0]+"="+u,{supprPlusMoins:!1})}$`,texteCorr:m+a.map(o=>`$${f(E[0]+"="+o,{supprPlusMoins:!1})}$`).join("<br>")}),e.texte=t.map((o,j)=>"$\\textbf{"+(j+1)+".}$ "+o.texte).join("<br>"),e.texteCorr=t.map((o,j)=>"$\\textbf{"+(j+1)+".}$ <br>"+o.texteCorr).join("<br>"),e.texte=t.map((o,j)=>"$\\textbf{"+(j+1)+".}$ "+o.texte).join("<br>"),e.texteCorr=t.map((o,j)=>"$\\textbf{"+(j+1)+".}$ <br>"+o.texteCorr).join("<br>");break}case 132:{let t=[],a,b,d;const u=[];u.push(r({a:"round(random(1,10),0)",b:"round(random(-10,-1),0)",c:"a+b",test:"a!=0 and b!=0 and c>0"})),u.push(r({a:"round(random(-10,-1),0)",b:"round(random(1,10),0)",c:"a+b",test:"a!=0 and b!=0 and c<0"})),u.push(r({a:"round(random(-10,-1),0)",b:"round(random(-10,-1),0)",c:"a+b",test:"a!=0 and b!=0 and c<0"})),u.push(r({a:"round(random(-10,10),0)",b:"-a",c:"a+b",test:"a!=0 and b!=0"}));for(let m=0;m<u.length;m++)a=[],b=c("(a)+(ldots)",u[m])+"="+c("c",u[m]),d=c("(a)+(b)",u[m])+"="+c("c",u[m]),a.push(d),t.push({texte:`Compléter $${f(b,{supprPlusMoins:!1})}$`.replace("ldots","\\ldots"),texteCorr:a.map(l=>`$${f(l,{supprPlusMoins:!1})}$`).join("<br>")});t=g(t),e.texte=t.map((m,l)=>"$\\textbf{"+(l+1)+".}$ "+m.texte).join("<br>"),e.texteCorr=t.map((m,l)=>"$\\textbf{"+(l+1)+".}$ <br>"+m.texteCorr).join("<br>"),e.texte=t.map((m,l)=>"$\\textbf{"+(l+1)+".}$ "+m.texte).join("<br>"),e.texteCorr=t.map((m,l)=>"$\\textbf{"+(l+1)+".}$ <br>"+m.texteCorr).join("<br>");break}case 133:{const t=[];let a={},b;b=r({a:"round(random(-10,-1),0)",b:"round(random(1,10),0)",c:"a-b"}),a.texte=`Calculer $${f(c("(a)-b",b))}$`,a.texteCorr=`Soustraire un nombre revient à ajouter son opposé.<br>$${f(c("(a)-b",b)+"="+c("(a)+(-b)",b),{supprPlusMoins:!1})}$<br>$${f(c("(a)-b",b)+"="+c("c",b),{supprPlusMoins:!1})}$`,t.push(a),b=r({a:"round(random(-10,10),0)",b:"round(random(1,10),0)",test:"a!= 0 and a<b"}),a=s("(a)-b",{variables:b,supprPlusMoins:!1,substeps:!0}),a.texteCorr=`Soustraire un nombre revient à ajouter son opposé.<br>$${f(c("(a)-b",b)+"="+c("(a)+(-b)",b),{supprPlusMoins:!1})}$<br>`+a.texteCorr,t.push(a),b=r({a:"round(random(-10,10),0)",b:"round(random(-10,-1),0)",test:"a!= 0 and a<b"}),a=s("(a)-(b)",{variables:b,supprPlusMoins:!1,substeps:!0}),t.push(a),e.texte=t.map((d,u)=>"$\\textbf{"+(u+1)+".}$ "+d.texte).join("<br>"),e.texteCorr=t.map((d,u)=>"$\\textbf{"+(u+1)+".}$ <br>"+d.texteCorr).join("<br>"),e.texte=t.map((d,u)=>"$\\textbf{"+(u+1)+".}$ "+d.texte).join("<br>"),e.texteCorr=t.map((d,u)=>"$\\textbf{"+(u+1)+".}$ <br>"+d.texteCorr).join("<br>");break}case 134:{const t={a:"randomInt(2,10)",b:"randomInt(2,10)",c:"randomInt(2,10)",test:"gcd(a,b)==1 and a!=c"};e=h(g(["a/b","c/x"]).join("="),{variables:t,produitsencroix:!0,comment:!0,verifications:!0});break}case 135:{const t={a:"randomInt(2,10)",b:"randomInt(2,10)",c:"randomInt(2,10)",d:"randomInt(2,10)",test:"gcd(a,b)==1 and b!=c"};e=h(g(["a/b","x/c"]).join("="),{variables:t,produitsencroix:!0,comment:!0,verifications:!0});break}case 136:{const t={a:"randomInt(2,10)",b:"randomInt(2,10)",c:"randomInt(2,10)",d:"randomInt(2,10)",test:"gcd(a,b)==1 and a!=c"};e=h(g(["a/b","c/(x+d)"]).join("="),{variables:t,produitsencroix:!0,comment:!0,changeType:["DISTRIBUTE"],verifications:!0});break}case 137:{const t={a:"randomInt(2,10)",b:"randomInt(2,10)",c:"randomInt(2,10)",d:"randomInt(2,10)",test:"gcd(a,b)==1 and a!=c"};e=h(g(["a/b","c*x/(x+d)"]).join("="),{variables:t,produitsencroix:!0,comment:!0,changeType:["DISTRIBUTE"],verifications:!0});break}case 138:{const t={a:"randomInt(2,10)",b:"randomInt(2,10)",c:"randomInt(2,10)",d:"randomInt(2,10)",test:"gcd(a,b)==1 and a!=c"};e=h(g(["a/b","c*x/(x+d)"]).join("="),{variables:t,comment:!0,changeType:["DISTRIBUTE"],verifications:!0});break}case 139:{const t={a:"randomInt(2,10)",c:"randomInt(2,10)",d:"randomInt(2,10)",test:"a!=c"};e=h(g(["a/x","c/(x+d)"]).join("="),{variables:t,produitsencroix:!0,comment:!0,changeType:["DISTRIBUTE"],verifications:!0});break}}this.questionJamaisPosee(D,P)&&(this.listeQuestions.push(e.texte),this.listeCorrections.push(e.texteCorr),D++),F++}z(this)}}export{se as dateDePublication,ne as default,re as titre};
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