SOLUTION: Can someone please help me with this? x^2 + 16x + ___ = (x + ___)^2 Jerry jerry@san.rr.com

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please help me with this? x^2 + 16x + ___ = (x + ___)^2 Jerry jerry@san.rr.com      Log On


   

Question 318555: Can someone please help me with this?
x^2 + 16x + ___ = (x + ___)^2
Jerry
jerry@san.rr.com
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To complete take (1/2) of the x-coefficient, square it.
That's added to the left hand side.
(1/2) of the x-coefficient is added to the right hand side.
x%5E2%2B16x%2Bb%5E2=%28x%2Bb%29%5E2
x%5E2%2B16x%2Bb%5E2=x%5E2%2B2bx%2Bb%5E2
16x=2bx
b=16%2F2=8
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x%5E2%2B16x%2B64=%28x%2B8%29%5E2