Here is my start using Sage and Maxima.
------------------------------------------------
def CSquare(co1,co2,co3):
eq1=co1*x^2+co2*x+co3
eq3=eq1==0
eq2=factor(eq1)
eq4=(1/co1)*eq2
Cof1=maxima.args(eq4);Cof1a=Cof1[2];
val2=real(((1/2)*(maxima.coeff(eq4,x,1))))
val1=val2^2
eq5=eq4+val1
return eq3,eq2,eq4,eq5,val1
--------------------------------------------------
The val1 does produce 9/16. This is good, but when I add it to the
lhs I get (here is my output)
-------------------------------------
2*x^2 + 3*x + 4 == 0
2*(x^2 + 3*x/2 + 2)
x^2 + 3*x/2 + 2
x^2 + 3*x/2 + sage261 + 2
9/16
--------------------------------
Why the "sage261"?
On Sep 2, 11:09 am, Robert Bradshaw <rober...@math.washington.edu>
wrote:
> On Wed, 2 Sep 2009, Mikie wrote:
>
> > Here is a proc(Mupad) I wrote for showing the steps in completing the
> > square for a quad
> > ----------------------------------------------------
> > //Completing the Square Method of solving quadratic equation
> > quad:= proc(co1,co2,co3)
> > local a,b,c,eq1,q1,Lcoef,half2,eq2,eq3,op1,op2,op3,
> > eq1a,eq1b,eq1c,eq4,eq5,eq6,r1,sol1,sol2;
> > begin;
> > eq1:=co1*x^2+co2*x+co3=0;
> > eq2:=(eq1/co1);
> > q1:=[coeff(lhs(eq2))];
> > Lcoef:=q1[2];
> > op1:= op(lhs(eq2)); op2:=op(op1,3);
> > eq1a := subs(R1 + R2 = R3, R1=op(op1,1),
> > R2 =op(op1,2),R3 = -op2, Unsimplified);
> > half2:=(Lcoef/2)^2;
> > a := lhs(eq1a); b:=rhs(eq1a);
> > eq1b:= subs(R4 + R5 + R6 = R7 + R8, R4 =op(a,1),
> > R5 = op(a,2), R6 = half2, R7=b,R8 = half2,Unsimplified);
> > eq3:=eq2-q1[3];
> > eq4:=eq3+half2;
> > eq5:= (x+Lcoef/2)^2=rhs(eq4);
> > eq6:= x+Lcoef/2=sqrt(rhs(eq5));
> > eq6a:= x+Lcoef/2=-sqrt(rhs(eq5));
> > sol1:=eq6-Lcoef/2;sol2:=x=rhs(-eq6-Lcoef/2);
> > ----------------------------------
> > I need rhs, lhs, op, coef, subs, etc. Are any of these functions in
> > Sage or Maxima?
> > Thanx
>
> I bet they all are, but to know you'd have to find out what they mean.
>
> - Robert- Hide quoted text -
>
> - Show quoted text -
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