Question

$\sqrt{x+5} +5 = \frac{14}{\sqrt{x+5} }$

Answer 1

Answer:

√(x+5) + 5 = 14/√(x+5)

(x+5) + 5√(x+5) = 14

x + 5√(x+5) = 9

5√(x+5) = 9-x

Squaring both side

25(x+5) = 81 + x^2 - 18x

25x + 125 = 81 + x^2 - 18x

43x + 44 = x^2

x^2 - 43x - 44 = 0

x = - 1.0232558139534884

Or

x = -1