SOLUTION: Solve by completing the square x^2-16x+63=0 Thanks for any help.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve by completing the square x^2-16x+63=0 Thanks for any help.      Log On


   

Question 89174: Solve by completing the square
x^2-16x+63=0
Thanks for any help.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x by completing the square:
x%5E2-16x%2B63+=+0 First, subtract 63 from both sides.
x%5E2-16x+=+-63 Now complete the square in the x-terms by adding the square of half the x-coefficient %28-16%2F2%29%5E2+=+64 to both sides.
x%5E2-16x%2B64+=+64-63 Simplify.
x%5E2-16x%2B64+=+1 Factor the left side.
%28x-8%29%5E2+=+1 Take the square root of both sides.
x-8+=+1 or x-8+=+-1
x+=+8%2B1 or x+=+8-1
x+=+9 or x+=+7