Solve left(1+xright)^2=1.76

$${ \left(1+x \right) }^{ 2 } =1.76$$

Solve for x

$$x=\frac{2\sqrt{11}}{5}-1\approx 0.326649916$$

$$x=-\frac{2\sqrt{11}}{5}-1\approx -2.326649916$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x+1=\frac{2\sqrt{11}}{5} x+1=-\frac{2\sqrt{11}}{5}$$

Subtract 1 from both sides of the equation.

$$x+1-1=\frac{2\sqrt{11}}{5}-1 x+1-1=-\frac{2\sqrt{11}}{5}-1$$

Subtracting 1 from itself leaves 0.

$$x=\frac{2\sqrt{11}}{5}-1 x=-\frac{2\sqrt{11}}{5}-1$$