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

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Question 175092: if a number is added to its square, the result is 56. Find the number
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
n+%2B+n%5E2+=+56
n%5E2+%2B+n+%2B+%281%2F2%29%5E2+=+%281%2F2%29%5E2+%2B+56
%28n+%2B+%281%2F2%29%29%5E2+=+1%2F4+%2B+224%2F4
n+%2B+1%2F2+=+15%2F2
n+=+14%2F2
n+=+7
and also
n+%2B+1%2F2+=+-%2815%2F2%29
n+=+-%2816%2F2%29
n+=+-8
check answers:
n+%2B+n%5E2+=+56
7+%2B+49+=+56
56+=+56
OK
n+%2B+n%5E2+=+56
-8+%2B%28-8%29%5E2+=+56
-8+%2B+64+=+56
56+=+56
OK