n 2 + 45 n^2 + 45 --- What are the values?

Algebra Level 2

Find all positive integers n n for which n 2 + 45 n^2 + 45 is a perfect square. Give your answer in the form of:

n 1 × n 2 × n 3 \large \boxed{n_{1}\times n_{2}\times n_{3}}


The answer is 264.

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1 solution

Syed Hamza Khalid
Sep 11, 2017

A n d 22 × 6 × 2 = 264 \large And\ 22\times 6\times 2=\boxed{264}

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