Step-by-step explanation:
[tex]y = \sqrt{ \frac{x + 7}{x - 2} } \\ case1)x = 5 \\ y = \sqrt{ \frac{5 + 7}{5 - 2} } = \sqrt{ \frac{12}{3} } = \sqrt{4} = 2 \\ y = 2 \\ case2) \: y = 4 \\ 4 = \sqrt{ \frac{x + 7}{x - 2} } \\ squaring \: both \: side \\ {4}^{2} = { (\sqrt{ \frac{x + 7}{x - 2} } )}^{2} \\ 16 = \frac{ x + 7}{x - 2} \\ 16(x - 2) = x + 7 \\ 16x - 32 = x + 7 \\ 16x - x = 7 + 32\\ 15x = 39 \\ x = \frac{39}{15} = 2.6[/tex]
