SOLUTION: find two consecutive number such that the sum of their squares , reduced by 13, is equal to 100.

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Question 840388: find two consecutive number such that the sum of their squares , reduced by 13, is equal to 100.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N%5E2%2B%28N%2B1%29%5E2-13=100
N%5E2%2BN%5E2%2B2N%2B1-13=100
2N%5E2%2B2N-12=100
2N%5E2%2B2N-112=0
N%5E2%2BN-56=0
%28N-7%29%28N%2B8%29=0
Two solutions:
N-7=0
N=7
7 and 8.
N%2B8=0
N=-8
-8 and -7.