Solve: √(x) + √(5 + x) = 15 / √(5 + x) ​

Question

Solve:

`√(x) + √(5 + x) = 15 / √(5 + x)`
​

Answer 1

x = 4

Step-by-step explanation:

sqrt(x) + sqrt(5 + x) = 15 / sqrt(5 + x)

sqrt(5 + x)[sqrt(x) + sqrt(5 + x)] = 15

sqrt(5x + x^2) + 5 + x = 15

sqrt(5x + x^2) = 10 - x

Take square of both sides

5x + x^2 = (10 - x)^2

5x + x^2 = 100 - 20x + x^2

Cancel x^2

5x = 100 - 20x

25x = 100

x = 4