Problem no. 15

Algebra Level 3

n + 2015 = m 2 − n 2 \large n+2015=m^2-n^2

Find the natural number n n which satisfies the equation above, where m m is a natural number as well.


The answer is 2014.

Ahmad Naufal Hakim by Ahmad Naufal Hakim , 23, Indonesia

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1 solution

Alex Zhong
Mar 30, 2015

Let m = n + 1 , m=n+1, n + 2015 = 2 n + 1 n+2015=2n+1 , n = 2014 . n=\boxed{2014}.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

What made you conclude that m = n + 1 ? m=n+1?

Ahmad Naufal Hakim - 6 years, 2 months ago

How can u say this about m?

Hiren Patel - 6 years, 2 months ago

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