Solve (x-9)^2=3

$$( x - 9 ) ^ { 2 } = 3$$

Solve for x

$$x=\sqrt{3}+9\approx 10.732050808$$

$$x=9-\sqrt{3}\approx 7.267949192$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-9=\sqrt{3} x-9=-\sqrt{3}$$

Add 9 to both sides of the equation.

$$x-9-\left(-9\right)=\sqrt{3}-\left(-9\right) x-9-\left(-9\right)=-\sqrt{3}-\left(-9\right)$$

Subtracting -9 from itself leaves 0.

$$x=\sqrt{3}-\left(-9\right) x=-\sqrt{3}-\left(-9\right)$$

Subtract -9 from \sqrt{3}.

$$x=\sqrt{3}+9$$

Subtract -9 from -\sqrt{3}.

$$x=9-\sqrt{3}$$

The equation is now solved.

$$x=\sqrt{3}+9 x=9-\sqrt{3}$$