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LetSn = n^2+20n+12 n a positive integer...

Let`S_n = n^2+20n+12` n a positive integer. What is the sum of all possible values of n for which `S_n` is a perfect square?

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Let `n^2+20n+12=u^2`
`(n+10)^2−88=u^2`
`(n+10−u)(n+10+u)=88`
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