Answer:
x = 16
Step-by-step explanation:
Subtract x from both sides of the equation
[tex]\sqrt{x} = 20 - x[/tex]
To remove the radical on the left side of the equation, square both sides of the equation.
[tex]\sqrt{x}^{2} = (20 - x)^{2}[/tex]
Simplify each side of the equation.
[tex]x = (20 - x)^{2}[/tex]
Solve for x.
[tex]x = 25, 16[/tex]
Exclude the solutions that do not make [tex]x + \sqrt{x} = 20[/tex] true.
x = 16
