Question

How do I solve this equation and find the solutions?

Answer 1

x = 5

Explanation:

x - 5 =
`√(2x+5)` ( x > 5)

(x - 5)² = (
`√(2x+5)` )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

`x_(1)` = 10

`x_(2)` = 2 strange root, does not satisfy the condition x > 5 ( 2 -
`√(2*2+5)` ≠ 5 )

10 -
`√(2*10+5)` = 5

10 - 5 = 5

5 = 5

Answer 2

x = 10

Explanation:

x-sqrt(2x+5) = 5

2x+5 = 25-10x+x^2

x = 10

Hope this helped!