Solve h^2=-49

$$h ^ { 2 } = - 49$$

Solve for h

$$h=-7i$$

$$h=7i$$

Steps by Finding Square Root

The equation is now solved.

$$h=7i h=-7i$$

Steps Using the Quadratic Formula

Add 49 to both sides.

$$h^{2}+49=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 49 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$h=\frac{0±\sqrt{0^{2}-4\times 49}}{2}$$

Square 0.

$$h=\frac{0±\sqrt{-4\times 49}}{2}$$

Multiply -4 times 49.

$$h=\frac{0±\sqrt{-196}}{2}$$

Take the square root of -196.

$$h=\frac{0±14i}{2}$$

Now solve the equation h=\frac{0±14i}{2} when ± is plus.

$$h=7i$$

Now solve the equation h=\frac{0±14i}{2} when ± is minus.

$$h=-7i$$

The equation is now solved.

$$h=7i h=-7i$$