Solve -70x^2=-5

$$- 70 x ^ { 2 } = - 5$$

Solve for x

$$x=\frac{\sqrt{14}}{14}\approx 0.267261242$$

$$x=-\frac{\sqrt{14}}{14}\approx -0.267261242$$

Steps by Finding Square Root

Divide both sides by -70.

$$x^{2}=\frac{-5}{-70}$$

Reduce the fraction \frac{-5}{-70} to lowest terms by extracting and canceling out -5.

$$x^{2}=\frac{1}{14}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{14}}{14} x=-\frac{\sqrt{14}}{14}$$

Steps Using the Quadratic Formula

Divide both sides by -70.

$$x^{2}=\frac{-5}{-70}$$

Reduce the fraction \frac{-5}{-70} to lowest terms by extracting and canceling out -5.

$$x^{2}=\frac{1}{14}$$

Subtract \frac{1}{14} from both sides.

$$x^{2}-\frac{1}{14}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{1}{14} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{14}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{14}\right)}}{2}$$

Multiply -4 times -\frac{1}{14}.

$$x=\frac{0±\sqrt{\frac{2}{7}}}{2}$$

Take the square root of \frac{2}{7}.

$$x=\frac{0±\frac{\sqrt{14}}{7}}{2}$$

Now solve the equation x=\frac{0±\frac{\sqrt{14}}{7}}{2} when ± is plus.

$$x=\frac{\sqrt{14}}{14}$$

Now solve the equation x=\frac{0±\frac{\sqrt{14}}{7}}{2} when ± is minus.

$$x=-\frac{\sqrt{14}}{14}$$

The equation is now solved.

$$x=\frac{\sqrt{14}}{14} x=-\frac{\sqrt{14}}{14}$$