SOLUTION: if a number is added to its square, the result is 56. Find teh number

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Question 175091: if a number is added to its square, the result is 56. Find teh number
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number = n.
n%5E2%2Bn+=+56 Subtract 56 from both sides.
n%5E2%2Bn-56+=+0 Solve by factoring.
%28n-7%29%28n%2B8%29+=+0
n-7+=+0 or n%2B8+=+0 so...
highlight%28n+=+7%29 or highlight%28n+=+-8%29
There are two answers to this problem: 7 and -8
Check:
7%5E2%2B7+=+49%2B7 = 56
%28-8%29%5E2+%2B+%28-8%29+=+64+%2B+%28-8%29 = 56