Solve (x+5.5)^2=43.25

$$( x + 5.5 ) ^ { 2 } = 43.25$$

Solve for x

$$x = \frac{\sqrt{173} - 11}{2} \approx 1.076473219$$

$$x=\frac{-\sqrt{173}-11}{2}\approx -12.076473219$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x+5.5=\frac{\sqrt{173}}{2} x+5.5=-\frac{\sqrt{173}}{2}$$

Subtract 5.5 from both sides of the equation.

$$x+5.5-5.5=\frac{\sqrt{173}}{2}-5.5 x+5.5-5.5=-\frac{\sqrt{173}}{2}-5.5$$

Subtracting 5.5 from itself leaves 0.

$$x=\frac{\sqrt{173}}{2}-5.5 x=-\frac{\sqrt{173}}{2}-5.5$$

Subtract 5.5 from \frac{\sqrt{173}}{2}.

$$x=\frac{\sqrt{173}-11}{2}$$

Subtract 5.5 from -\frac{\sqrt{173}}{2}.

$$x=\frac{-\sqrt{173}-11}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{173}-11}{2} x=\frac{-\sqrt{173}-11}{2}$$