Question

5. m-n = 5 and mn = 14 Find m2 + n2
1)9
2) 19 3) 70
4)53​

Answer 1

$Given \: m-n = 5 \: --(1)$

$and \: mn = 14$

$Value \: of \: m^{2} + n^{2}$

$= ( m - n)^{2} + 2mn$

$= 5^{2} + 2 \times 14$

$= 25 + 28$

$= 53$

Therefore.,

$\red{ Value \: of \: m^{2} + n^{2}}\green {= 53}$

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