Solve (x-65)^2=2125

$$( x - 65 ) ^ { 2 } = 2125$$

Solve for x

$$x=5\sqrt{85}+65\approx 111.097722286$$

$$x=65-5\sqrt{85}\approx 18.902277714$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-65=5\sqrt{85} x-65=-5\sqrt{85}$$

Add 65 to both sides of the equation.

$$x-65-\left(-65\right)=5\sqrt{85}-\left(-65\right) x-65-\left(-65\right)=-5\sqrt{85}-\left(-65\right)$$

Subtracting -65 from itself leaves 0.

$$x=5\sqrt{85}-\left(-65\right) x=-5\sqrt{85}-\left(-65\right)$$

Subtract -65 from 5\sqrt{85}.

$$x=5\sqrt{85}+65$$

Subtract -65 from -5\sqrt{85}.

$$x=65-5\sqrt{85}$$

The equation is now solved.

$$x=5\sqrt{85}+65 x=65-5\sqrt{85}$$