Solve h^2+64+10=0

$$h ^ { 2 } + 64 + 10 = 0$$

Solve for h

$$h=-\sqrt{74}i\approx -0-8.602325267i$$

$$h=\sqrt{74}i\approx 8.602325267i$$

Steps by Finding Square Root

Add 64 and 10 to get 74.

$$h^{2}+74=0$$

Subtract 74 from both sides. Anything subtracted from zero gives its negation.

$$h^{2}=-74$$

The equation is now solved.

$$h=\sqrt{74}i h=-\sqrt{74}i$$

Steps Using the Quadratic Formula

Add 64 and 10 to get 74.

$$h^{2}+74=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 74 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$h=\frac{0±\sqrt{0^{2}-4\times 74}}{2}$$

Square 0.

$$h=\frac{0±\sqrt{-4\times 74}}{2}$$

Multiply -4 times 74.

$$h=\frac{0±\sqrt{-296}}{2}$$

Take the square root of -296.

$$h=\frac{0±2\sqrt{74}i}{2}$$

Now solve the equation h=\frac{0±2\sqrt{74}i}{2} when ± is plus.

$$h=\sqrt{74}i$$

Now solve the equation h=\frac{0±2\sqrt{74}i}{2} when ± is minus.

$$h=-\sqrt{74}i$$

The equation is now solved.

$$h=\sqrt{74}i h=-\sqrt{74}i$$