Solve (x-5)^2=18

$$( x - 5 ) ^ { 2 } = 18$$

Solve for x

$$x=3\sqrt{2}+5\approx 9.242640687$$

$$x=5-3\sqrt{2}\approx 0.757359313$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-5=3\sqrt{2} x-5=-3\sqrt{2}$$

Add 5 to both sides of the equation.

$$x-5-\left(-5\right)=3\sqrt{2}-\left(-5\right) x-5-\left(-5\right)=-3\sqrt{2}-\left(-5\right)$$

Subtracting -5 from itself leaves 0.

$$x=3\sqrt{2}-\left(-5\right) x=-3\sqrt{2}-\left(-5\right)$$

Subtract -5 from 3\sqrt{2}.

$$x=3\sqrt{2}+5$$

Subtract -5 from -3\sqrt{2}.

$$x=5-3\sqrt{2}$$

The equation is now solved.

$$x=3\sqrt{2}+5 x=5-3\sqrt{2}$$