Solve -70x^2=11

$$- 70 x ^ { 2 } = 11$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{770}i}{70}\approx -0-0.396412484i$$

$$x=\frac{\sqrt{770}i}{70}\approx 0.396412484i$$

Steps by Finding Square Root

Divide both sides by -70.

$$x^{2}=-\frac{11}{70}$$

The equation is now solved.

$$x=\frac{\sqrt{770}i}{70} x=-\frac{\sqrt{770}i}{70}$$

Steps Using the Quadratic Formula

Divide both sides by -70.

$$x^{2}=-\frac{11}{70}$$

Add \frac{11}{70} to both sides.

$$x^{2}+\frac{11}{70}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and \frac{11}{70} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{11}{70}}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times \frac{11}{70}}}{2}$$

Multiply -4 times \frac{11}{70}.

$$x=\frac{0±\sqrt{-\frac{22}{35}}}{2}$$

Take the square root of -\frac{22}{35}.

$$x=\frac{0±\frac{\sqrt{770}i}{35}}{2}$$

Now solve the equation x=\frac{0±\frac{\sqrt{770}i}{35}}{2} when ± is plus.

$$x=\frac{\sqrt{770}i}{70}$$

Now solve the equation x=\frac{0±\frac{\sqrt{770}i}{35}}{2} when ± is minus.

$$x=-\frac{\sqrt{770}i}{70}$$

The equation is now solved.

$$x=\frac{\sqrt{770}i}{70} x=-\frac{\sqrt{770}i}{70}$$