Solve x^2=-225

$${ x }^{ 2 } = -225$$

Solve for x (complex solution)

$$x=-15i$$

$$x=15i$$

Steps by Finding Square Root

The equation is now solved.

$$x=15i x=-15i$$

Steps Using the Quadratic Formula

Add 225 to both sides.

$$x^{2}+225=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 225 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 225}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 225}}{2}$$

Multiply -4 times 225.

$$x=\frac{0±\sqrt{-900}}{2}$$

Take the square root of -900.

$$x=\frac{0±30i}{2}$$

Now solve the equation x=\frac{0±30i}{2} when ± is plus.

$$x=15i$$

Now solve the equation x=\frac{0±30i}{2} when ± is minus.

$$x=-15i$$

The equation is now solved.

$$x=15i x=-15i$$