Solve (x+16)^2-3=0

$$( x + 16 ) ^ { 2 } - 3 = 0$$

Solve for x

$$x=\sqrt{3}-16\approx -14.267949192$$

$$x=-\left(\sqrt{3}+16\right)\approx -17.732050808$$

Steps by Finding Square Root

Add 3 to both sides of the equation.

$$\left(x+16\right)^{2}-3+3=3$$

Subtracting 3 from itself leaves 0.

$$\left(x+16\right)^{2}=3$$

Take the square root of both sides of the equation.

$$x+16=\sqrt{3} x+16=-\sqrt{3}$$

Subtract 16 from both sides of the equation.

$$x+16-16=\sqrt{3}-16 x+16-16=-\sqrt{3}-16$$

Subtracting 16 from itself leaves 0.

$$x=\sqrt{3}-16 x=-\sqrt{3}-16$$