Solve X*X=-72

$$X \cdot X = - 72$$

Solve for X

$$X=-6\sqrt{2}i\approx -0-8.485281374i$$

$$X=6\sqrt{2}i\approx 8.485281374i$$

Steps by Finding Square Root

Multiply X and X to get X^{2}.

$$X^{2}=-72$$

The equation is now solved.

$$X=6\sqrt{2}i X=-6\sqrt{2}i$$

Steps Using the Quadratic Formula

Multiply X and X to get X^{2}.

$$X^{2}=-72$$

Add 72 to both sides.

$$X^{2}+72=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 72 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$X=\frac{0±\sqrt{0^{2}-4\times 72}}{2}$$

Square 0.

$$X=\frac{0±\sqrt{-4\times 72}}{2}$$

Multiply -4 times 72.

$$X=\frac{0±\sqrt{-288}}{2}$$

Take the square root of -288.

$$X=\frac{0±12\sqrt{2}i}{2}$$

Now solve the equation X=\frac{0±12\sqrt{2}i}{2} when ± is plus.

$$X=6\sqrt{2}i$$

Now solve the equation X=\frac{0±12\sqrt{2}i}{2} when ± is minus.

$$X=-6\sqrt{2}i$$

The equation is now solved.

$$X=6\sqrt{2}i X=-6\sqrt{2}i$$