Question

★ STANDARD QUESTION 7 ★

★ CONTENT QUALITY SUPPORT REQUIRED ★

SOLVE FOR " x "
$\frac{a + 2x + \sqrt{a {}^{2} - 4x {}^{2} } }{a + 2x - \sqrt{a {}^{2} - 4x {}^{2} } } = \frac{5x}{a}$
★ LEVEL - 100 ★

Answer 1

$hope \: you \: understand \: my \: answer \: \\ thins \: to \: know \: before \: going \: to \: solution \: \\ 1)if \: \: \frac{a}{b} = \frac{c}{d} \: = k \: then \\ \: \\ k = \frac{a + c}{b+ d} \\ this \: is \: commonly \: known \: as \: \\ componendo \: and \: dividendo \: \\ . \\ final \: result \: x \: = \frac{2a}{5} \: \: \: or \: \frac{ - 2a}{5} \\ \\ hope \: you \: understand \: my \: answer.$

Answer 2

Heya 

Here's your desired solution ^_^