Question

Find the value of x-
V3x+4+v3X-5 = 9
V3x+4-13x-5​

Answer 1

Answer:

$\frac{ \sqrt{3x + 4} + \sqrt{3x - 5} }{ \sqrt{3x + 4} - \sqrt{3x - 5} } = 9 \\ \\ using \: componendo \: and \: dividendo \: rule \\ \frac{2 \sqrt{3x + 4} }{2 \sqrt{3x - 5} } = \frac{10}{8} \\ on \: sqaring \: both \: sides \\ \\ \frac{3x + 4}{3x - 5} = \frac{100}{64} \\ 192x + 256 = 300x - 500 \\ 300x - 192x = 756 \\ 108x = 756 \\ x = 7 \\ \\ \\ hope \: it \: will \: help \: you.....$