117,992?

Logic Level pending

If the positive integer n n is the answer to this question, then what is n 2 − 117 , 992 n^2 - 117,992 ?


The answer is 344.

Geoff Pilling by Geoff Pilling , 53, USA

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3 solutions

Ku John
Aug 4, 2016

n^2-117992=n n^2-117992-n=0 (n+343)(n-344)=0 n=-343 or n=344

since n is a positive integer, we would rule out -343, thus answer is 344

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Finn C
May 19, 2016

I solved it with trial and error using a calculator... but I'm sure there's a more systematic approach...

However as we now know (if you didn't already) the answer is 344 . Shortly after I found this:

344 x 343 = 117, 992

They're also consecutive numbers...

Maybe someone could build on that...?

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Geoff Pilling
May 8, 2016

34 4 2 − 117992 = 344 344^2 - 117992 = \boxed{344}

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