SOLUTION: The sum of a number and its square is 156. What is the number?

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Question 142668: The sum of a number and its square is 156. What is the number?
Answer by bebedeeb(7) About Me  (Show Source):
You can put this solution on YOUR website!
to start, let n = the number
and, let n%5E2 = its square
son%5E2%2Bn=156
put this quadratic equation in to standard form
n%5E2%2Bn-156=0
now factor it out
%28n-12%29%28n%2B13%29=0
so n=12 or n=-13
lets see:
12%5E2%2B12=156 CHECK
-13%5E2%2B%28-13%29=156 CHECK