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Mathematics 21 Online
OpenStudy (anonymous):

what is the absolute value of n^2+6n-27

OpenStudy (anonymous):

What do mean by absolute value?

OpenStudy (anonymous):

\[\left| n ^{2} +6n-27\right|\]

OpenStudy (anonymous):

the question asks to find all integers n which is a prime number

OpenStudy (anonymous):

I am assuming you mean, Find all n for which \(\left| n ^{2} +6n-27\right|\) is a prime number right?

OpenStudy (anonymous):

yes, correct. Should there be two cases for which it equals to zero and 1?

OpenStudy (anonymous):

I think \(n=-8\) and \(n=4 \) are only two cases.

OpenStudy (anonymous):

can you explain how you got to that result?

OpenStudy (anonymous):

(n + 9) (n - 3) will be prime when either of (n+9) or (n+3) is 1

OpenStudy (anonymous):

Got it, thanks :)

OpenStudy (anonymous):

Glad to help :)

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