SOLUTION: If 3x^2-12x+14=3(x+p)^2+q, what are the values of p and q?

Question 266245: If 3x^2-12x+14=3(x+p)^2+q, what are the values of p and q?
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!

Since it must be identically true regardless of the value of x,
the easy way is to substitute any two values of x and solve the
resulting system:
Substitute x=0

Substitute x=1

So we have this system of equations:

Solve both for q:

Set their right sides equal and solve

Simplify and solve this and you'll get
one solution , then substitute
that into and get

Edwin

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