SOLUTION: positive integer number increased by its square is equal to 16 times the next higher positive integer number.

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Question 1105781: positive integer number increased by its square is equal to 16 times the next higher positive integer number.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Integers n and n+1;

n%2Bn%5E2=16%28n%2B1%29
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n%2Bn%5E2=16n%2B16
n%5E2=15n%2B16
n%5E2-15n-16=0
%28n-16%29%28n%2B1%29=0
The POSITIVE integer is n=16.

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CHECK
Does that work?
16%2B16%5E2=16%2817%29
272=272
yes