Question

a-b=7,ab=9 then what is a^2+b^2

Answer 1

$\huge\mathcal\colorbox{Lavender}{Answer}$

❥Given,

$a - b = 7$

$ab = 9$

❥To find is

${a}^{2} + {b}^{2}$

$(a - b) ^{2} = {a}^{2} + {b}^{2} + 2ab$

$- ( {a}^{2} + {b}^{2} ) = - 2ab - (a - b) ^{2}$

${a}^{2} + {b}^{2} = {(a - b)}^{2} + 2ab$

$= 49 + 18$

$= 67$

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