Answer:
The value of x is 10.
Step-by-step explanation:
The steps to do this :
[tex]x - \sqrt{2x + 5} = 5[/tex]
[tex]x - 5 = \sqrt{2x + 5} [/tex]
[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]
[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]
[tex] {x}^{2} - 12x + 20 = 0[/tex]
[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]
[tex]x(x - 2) - 10(x - 2) = 0[/tex]
[tex](x - 2)(x - 10) = 0[/tex]
[tex]x = 2 \: (rejected)[/tex]
[tex]x = 10[/tex]
