Question

Solve this friends....please.

Answer 1

Hello friend

_________________________________
⭐⭐⭐.✍✍✍✍✍✍

$\frac{( \sqrt{x + 7 \: \:} + \sqrt{x - 2)} + ( \sqrt{x + 7} - \sqrt{x - 2)} }{( \sqrt{x + 7} + \sqrt{x - 2)} - ( \sqrt{x \ + 7 } - \sqrt{x - 2)} } = \: \frac{5 + 1}{5 - 1} .............(using \: componendo - dividendo) \\ \\ = \frac{2 \sqrt{x + 7} }{2 \sqrt{x - 2} } = \frac{6}{4} \\ \\ = \frac{ \sqrt{x + 7} }{ \sqrt{x - 2} } = \frac{3}{2} \\ \\ = \frac{x + 7}{x - 2} = \frac{9}{4} .............(taking \: squre \: on \: both \: the \: sides) \\ \\ = 4x + 28 = 9x - 18 \\ \\ = 28 + 18 = 9x - 4x \\ \\ = 46 = 5x \\ \\ = \frac{46}{5} = x \\ \\ = x = \frac{46}{5} \: \: this \: is \: the \: solution \: of \: the \: eqution$

Thanks.