Solve (x-24)^2=800

$$( x - 24 ) ^ { 2 } = 800$$

Solve for x

$$x=20\sqrt{2}+24\approx 52.284271247$$

$$x=24-20\sqrt{2}\approx -4.284271247$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-24=20\sqrt{2} x-24=-20\sqrt{2}$$

Add 24 to both sides of the equation.

$$x-24-\left(-24\right)=20\sqrt{2}-\left(-24\right) x-24-\left(-24\right)=-20\sqrt{2}-\left(-24\right)$$

Subtracting -24 from itself leaves 0.

$$x=20\sqrt{2}-\left(-24\right) x=-20\sqrt{2}-\left(-24\right)$$

Subtract -24 from 20\sqrt{2}.

$$x=20\sqrt{2}+24$$

Subtract -24 from -20\sqrt{2}.

$$x=24-20\sqrt{2}$$

The equation is now solved.

$$x=20\sqrt{2}+24 x=24-20\sqrt{2}$$