Solve (x-10)^2=12

$$( x - 10 ) ^ { 2 } = 12$$

Solve for x

$$x=2\sqrt{3}+10\approx 13.464101615$$

$$x=10-2\sqrt{3}\approx 6.535898385$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-10=2\sqrt{3} x-10=-2\sqrt{3}$$

Add 10 to both sides of the equation.

$$x-10-\left(-10\right)=2\sqrt{3}-\left(-10\right) x-10-\left(-10\right)=-2\sqrt{3}-\left(-10\right)$$

Subtracting -10 from itself leaves 0.

$$x=2\sqrt{3}-\left(-10\right) x=-2\sqrt{3}-\left(-10\right)$$

Subtract -10 from 2\sqrt{3}.

$$x=2\sqrt{3}+10$$

Subtract -10 from -2\sqrt{3}.

$$x=10-2\sqrt{3}$$

The equation is now solved.

$$x=2\sqrt{3}+10 x=10-2\sqrt{3}$$