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Solve the equation for x. Square root of x = 20

Sagot :

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