Solve h^2=49-49/16=

$$h ^ { 2 } = 49 - \frac { 49 } { 16 } =$$

Solve for h

$$h = \frac{7 \sqrt{15}}{4} \approx 6.777720856$$

$$h = -\frac{7 \sqrt{15}}{4} \approx -6.777720856$$

Steps by Finding Square Root

Subtract \frac{49}{16} from 49 to get \frac{735}{16}.

$$h^{2}=\frac{735}{16}$$

Take the square root of both sides of the equation.

$$h=\frac{7\sqrt{15}}{4} h=-\frac{7\sqrt{15}}{4}$$

Steps Using the Quadratic Formula

Subtract \frac{49}{16} from 49 to get \frac{735}{16}.

$$h^{2}=\frac{735}{16}$$

Subtract \frac{735}{16} from both sides.

$$h^{2}-\frac{735}{16}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{735}{16} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$h=\frac{0±\sqrt{0^{2}-4\left(-\frac{735}{16}\right)}}{2}$$

Square 0.

$$h=\frac{0±\sqrt{-4\left(-\frac{735}{16}\right)}}{2}$$

Multiply -4 times -\frac{735}{16}.

$$h=\frac{0±\sqrt{\frac{735}{4}}}{2}$$

Take the square root of \frac{735}{4}.

$$h=\frac{0±\frac{7\sqrt{15}}{2}}{2}$$

Now solve the equation h=\frac{0±\frac{7\sqrt{15}}{2}}{2} when ± is plus.

$$h=\frac{7\sqrt{15}}{4}$$

Now solve the equation h=\frac{0±\frac{7\sqrt{15}}{2}}{2} when ± is minus.

$$h=-\frac{7\sqrt{15}}{4}$$

The equation is now solved.

$$h=\frac{7\sqrt{15}}{4} h=-\frac{7\sqrt{15}}{4}$$