Solve 6c^2=-18

$$6 c ^ { 2 } = - 18$$

Solve for c

$$c=-\sqrt{3}i\approx -0-1.732050808i$$

$$c=\sqrt{3}i\approx 1.732050808i$$

Steps by Finding Square Root

Divide both sides by 6.

$$c^{2}=\frac{-18}{6}$$

Divide -18 by 6 to get -3.

$$c^{2}=-3$$

The equation is now solved.

$$c=\sqrt{3}i c=-\sqrt{3}i$$

Steps Using the Quadratic Formula

Divide both sides by 6.

$$c^{2}=\frac{-18}{6}$$

Divide -18 by 6 to get -3.

$$c^{2}=-3$$

Add 3 to both sides.

$$c^{2}+3=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 3 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\times 3}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\times 3}}{2}$$

Multiply -4 times 3.

$$c=\frac{0±\sqrt{-12}}{2}$$

Take the square root of -12.

$$c=\frac{0±2\sqrt{3}i}{2}$$

Now solve the equation c=\frac{0±2\sqrt{3}i}{2} when ± is plus.

$$c=\sqrt{3}i$$

Now solve the equation c=\frac{0±2\sqrt{3}i}{2} when ± is minus.

$$c=-\sqrt{3}i$$

The equation is now solved.

$$c=\sqrt{3}i c=-\sqrt{3}i$$