SOLUTION: I need help with this equation. The problem is use factoring to solve the equation. x^2-19x+88=0 Thank you for your help.

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Question 153519This question is from textbook Intermediate Algebra
: I need help with this equation. The problem is use factoring to solve the equation. x^2-19x+88=0
Thank you for your help. This question is from textbook Intermediate Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x by factoring:
x%5E2-19x%2B88+=+0
The factors will look like: %28x%2Bm%29%28x%2Bn%29 where: %28m%2Bn%29+=+-19 and m%2An+=+88
So, if you write some of the factors of 88 you get:
88 = 11*8 and (-11)+(-8) = -19, so...
x%5E2-19x%2B88+=+%28x-11%29%28x-8%29 then...
x%5E2-19x%2B88+=+0
%28x-11%29%28x-8%29+=+0 so that:
x+=+11 or x+=+8