Solve left(x+9right)^2=27

$${ \left(x+9 \right) }^{ 2 } =27$$

Solve for x

$$x=3\sqrt{3}-9\approx -3.803847577$$

$$x=-3\sqrt{3}-9\approx -14.196152423$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

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

Subtract 9 from both sides of the equation.

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

Subtracting 9 from itself leaves 0.

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