Question

please send with procedure ​

Answer 1

Question :-

$\red{{(x - 5)}^{2} - (x + 2) = - 2}$

Answer :-

$\implies \boxed{\:x \: = \frac{23}{14} }$

Formula used :-

$\implies \boxed{ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy}$

Explanation :-

${(x - 5)}^{2} - {(x + 2)}^{2} = - 2 \\ \\ \small \: {x}^{2} + 25 - 10x - \big( {x}^{2} + 4 + 4x \big) = - 2 \\ \\ \small \: \implies \: \: 25 - 10x - 4 - 4x = - 2 \\ \\ \implies \: - 14x = - 2 - 21 \\ \\ \implies \: - 14x = - 23 \\ \\ \implies \: \boxed{x \: = \frac{23}{14} }$