Solve x^2=0.9

$$x ^ { 2 } = 0.9$$

Solve for x

$$x=\frac{3\sqrt{10}}{10}\approx 0.948683298$$

$$x=-\frac{3\sqrt{10}}{10}\approx -0.948683298$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=\frac{3\sqrt{10}}{10} x=-\frac{3\sqrt{10}}{10}$$

Steps Using the Quadratic Formula

Subtract 0.9 from both sides.

$$x^{2}-0.9=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -0.9 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-0.9\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-0.9\right)}}{2}$$

Multiply -4 times -0.9.

$$x=\frac{0±\sqrt{3.6}}{2}$$

Take the square root of 3.6.

$$x=\frac{0±\frac{3\sqrt{10}}{5}}{2}$$

Now solve the equation x=\frac{0±\frac{3\sqrt{10}}{5}}{2} when ± is plus.

$$x=\frac{3\sqrt{10}}{10}$$

Now solve the equation x=\frac{0±\frac{3\sqrt{10}}{5}}{2} when ± is minus.

$$x=-\frac{3\sqrt{10}}{10}$$

The equation is now solved.

$$x=\frac{3\sqrt{10}}{10} x=-\frac{3\sqrt{10}}{10}$$