Solve (x-9)^2=72

$$( x - 9 ) ^ { 2 } = 72$$

Solve for x

$$x=6\sqrt{2}+9\approx 17.485281374$$

$$x=9-6\sqrt{2}\approx 0.514718626$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-9=6\sqrt{2} x-9=-6\sqrt{2}$$

Add 9 to both sides of the equation.

$$x-9-\left(-9\right)=6\sqrt{2}-\left(-9\right) x-9-\left(-9\right)=-6\sqrt{2}-\left(-9\right)$$

Subtracting -9 from itself leaves 0.

$$x=6\sqrt{2}-\left(-9\right) x=-6\sqrt{2}-\left(-9\right)$$

Subtract -9 from 6\sqrt{2}.

$$x=6\sqrt{2}+9$$

Subtract -9 from -6\sqrt{2}.

$$x=9-6\sqrt{2}$$

The equation is now solved.

$$x=6\sqrt{2}+9 x=9-6\sqrt{2}$$