Question

pls solve it's urgent

Answer 1

$\textbf{ \underline{ \huge{ Hello Mate! }}}$

${a}^{2} + {b}^{2} = 65 \: (given) \\ ab = 8 \: (given) \\ \\(Case1) \: {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {(a + b)}^{2} = 65 + 2(8) \\ {(a + b)}^{2} = 65 + 16 \\ a + b = \sqrt{81} \: or \: 9 \\ \\ (Case2) \: {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ {(a - b)}^{2} = 65 - 2(8) \\ a - b = \sqrt{49} \: or \: 7 \\ \\ {a}^{2} - {b}^{2} = (a + b)( a- b) \\ = > (9)(7) = 63$

$\boxed{ a^2 - b^2 = 63 }$

Have great future ahead!