var a ,b, c; var esq; var g; function Display(){ alert("Note that equation that ends in imaginary number the calculator will return NaN") var valid; while(!valid){ a = prompt("please input a (where (a) can not equal zero) (ax\u00B2+bx+c=0)","1"); valid=a !==0 && !isNaN(a); } valid=false; while(!valid){ b = prompt("please input b (where (b) can not equal zero) ("+(a==1?"":a)+"x\u00B2+bx+c=0)","4"); valid= !isNaN(b) ; } valid=false; while(!valid){ c = prompt("please input c (where (c) can not equal zero) ("+(a==1?"":a)+"x\u00B2"+b+"x+c=0)","3"); valid= !isNaN(c) ; } g=document.getElementById("showit") showEquation(); showWork(); } function showEquation(){ var q = - c; esq=(a==1?"":a)+"x\u00B2+"+(b==1?"":b)+"x +"+c+"=0"; g.innerHTML="Completing The sqaure is the method of solving quadratic equation by finding the perfect square of a an unfactorable quadratic eqaution"; g.innerHTML=g.innerHTML+"

Knowing that quadratic equation are given in the form of ax\u00B2+bx+c=0

"; g.innerHTML=g.innerHTML+"

Given the Equation "+" "+" "+esq+" solve it by completing the square

" } function showWork(){ b=b/a; c=c/a; g.innerHTML=g.innerHTML+"

Step-1 divide the equation by a (if a doesn't equal one)

"+esq+(a===1?"":"
"+"x\u00B2+"+(b==1?"":b)+"x +"+c+"=0")+"Step-2 transpose cand find half of b and add it to both side of the equation

"+(a===1?"":"
"+"x\u00B2+"+(b==1?"":b)+"x+"+"("+halfofb+")"+"\u00B2"+"="+-c)+"+"+"("+halfofb+")"+"\u00B2"+""+"
"; g.innerHTML=g.innerHTML+"
Step-3 take the perfect square of the left side of the equation and solve the right side of the equation
"+"("+"x"+"+"+halfofb+")"+"\u00B2"+"="+-c+"+"+halofbsquart+"
"; g.innerHTML=g.innerHTML+"
Step-4 solve the right side and take the root of both side of the equation
"+"("+"x"+"+"+halfofb+")"+"\u00B2"+ " "+ "=" +" " +e+"
"; g.innerHTML=g.innerHTML+"
"+"("+"x"+"+"+halfofb+")" + " "+ "=" +" " +"\u00B1"+n+"
"; g.innerHTML=g.innerHTML+"
"+"x"+"="+(-n-halfofb)+ " "+ "or" +" "+ "x" +"=" +(n-halfofb)+"
"; } function strarting(){ }

Solving Quadratic equation by completing the square