Solve left(x+1right)^2-1.16=0

$${ \left(x+1 \right) }^{ 2 } -1.16=0$$

Solve for x

$$x=\frac{\sqrt{29}}{5}-1\approx 0.077032961$$

$$x=-\frac{\sqrt{29}}{5}-1\approx -2.077032961$$

Steps by Finding Square Root

Add 1.16 to both sides of the equation.

$$\left(x+1\right)^{2}-1.16+1.16=1.16$$

Subtracting 1.16 from itself leaves 0.

$$\left(x+1\right)^{2}=1.16$$

Take the square root of both sides of the equation.

$$x+1=\frac{\sqrt{29}}{5} x+1=-\frac{\sqrt{29}}{5}$$

Subtract 1 from both sides of the equation.

$$x+1-1=\frac{\sqrt{29}}{5}-1 x+1-1=-\frac{\sqrt{29}}{5}-1$$

Subtracting 1 from itself leaves 0.

$$x=\frac{\sqrt{29}}{5}-1 x=-\frac{\sqrt{29}}{5}-1$$