Question

How do I solve this equation and check the solutions?

Answer 1

The value of x is 10.

Explanation:

The steps to do this :

`x - √(2x + 5) = 5`

`x - 5 = √(2x + 5)`

`{(x - 5)}^(2) = {( √(2x + 5)) }^(2)`

`{x}^(2) - 10x + 25 = 2x + 5`

`{x}^(2) - 12x + 20 = 0`

`{x}^(2) - 2x - 10x + 20 = 0`

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

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

`x = 2 \: (rejected)`

`x = 10`