polynomial equations

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Suppose m and n are positive integers. If (m + n) 2 = 49 and mn = 10, then what is the value of m 2 + n 2?

Jun 18th, 2015

(m + n) 2^2 =49

m^2+n^2+2mn = 49

m^2+n^2 +2(10) = 49

m^2+n^2 = 49 -20 

                = 29

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Jun 18th, 2015

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