Solve x^2=0.9075

$$x ^ { 2 } = 0.9075$$

Solve for x

$$x=\frac{11\sqrt{3}}{20}\approx 0.952627944$$

$$x=-\frac{11\sqrt{3}}{20}\approx -0.952627944$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=\frac{11\sqrt{3}}{20} x=-\frac{11\sqrt{3}}{20}$$

Steps Using the Quadratic Formula

Subtract 0.9075 from both sides.

$$x^{2}-0.9075=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -0.9075 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-0.9075\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-0.9075\right)}}{2}$$

Multiply -4 times -0.9075.

$$x=\frac{0±\sqrt{3.63}}{2}$$

Take the square root of 3.63.

$$x=\frac{0±\frac{11\sqrt{3}}{10}}{2}$$

Now solve the equation x=\frac{0±\frac{11\sqrt{3}}{10}}{2} when ± is plus.

$$x=\frac{11\sqrt{3}}{20}$$

Now solve the equation x=\frac{0±\frac{11\sqrt{3}}{10}}{2} when ± is minus.

$$x=-\frac{11\sqrt{3}}{20}$$

The equation is now solved.

$$x=\frac{11\sqrt{3}}{20} x=-\frac{11\sqrt{3}}{20}$$