Solve x^2*100=10

$$x ^ { 2 } \times 100 = 10$$

Solve for x

$$x=\frac{\sqrt{10}}{10}\approx 0.316227766$$

$$x=-\frac{\sqrt{10}}{10}\approx -0.316227766$$

Steps by Finding Square Root

Divide both sides by 100.

$$x^{2}=\frac{10}{100}$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$x^{2}=\frac{1}{10}$$

Take the square root of both sides of the equation.

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

Steps Using the Quadratic Formula

Divide both sides by 100.

$$x^{2}=\frac{10}{100}$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$x^{2}=\frac{1}{10}$$

Subtract \frac{1}{10} from both sides.

$$x^{2}-\frac{1}{10}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{1}{10} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{10}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{10}\right)}}{2}$$

Multiply -4 times -\frac{1}{10}.

$$x=\frac{0±\sqrt{\frac{2}{5}}}{2}$$

Take the square root of \frac{2}{5}.

$$x=\frac{0±\frac{\sqrt{10}}{5}}{2}$$

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

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

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

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

The equation is now solved.

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