Solve left(x-3right)^2=5

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

Solve for x

$$x=\sqrt{5}+3\approx 5.236067977$$

$$x=3-\sqrt{5}\approx 0.763932023$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

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

Add 3 to both sides of the equation.

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

Subtracting -3 from itself leaves 0.

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

Subtract -3 from \sqrt{5}.

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

Subtract -3 from -\sqrt{5}.

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

The equation is now solved.

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