Solve 193.08=V^2/.99

$$193.08 = \frac { V ^ { 2 } } { .99 }$$

Solve for V

$$V = \frac{3 \sqrt{53097}}{50} \approx 13.825671774$$

$$V = -\frac{3 \sqrt{53097}}{50} \approx -13.825671774$$

Steps by Finding Square Root

Multiply both sides by 0.99.

$$193.08\times 0.99=V^{2}$$

Multiply 193.08 and 0.99 to get 191.1492.

$$191.1492=V^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$V^{2}=191.1492$$

Take the square root of both sides of the equation.

$$V=\frac{3\sqrt{53097}}{50} V=-\frac{3\sqrt{53097}}{50}$$

Steps Using the Quadratic Formula

Multiply both sides by 0.99.

$$193.08\times 0.99=V^{2}$$

Multiply 193.08 and 0.99 to get 191.1492.

$$191.1492=V^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$V^{2}=191.1492$$

Subtract 191.1492 from both sides.

$$V^{2}-191.1492=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -191.1492 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$V=\frac{0±\sqrt{0^{2}-4\left(-191.1492\right)}}{2}$$

Square 0.

$$V=\frac{0±\sqrt{-4\left(-191.1492\right)}}{2}$$

Multiply -4 times -191.1492.

$$V=\frac{0±\sqrt{764.5968}}{2}$$

Take the square root of 764.5968.

$$V=\frac{0±\frac{3\sqrt{53097}}{25}}{2}$$

Now solve the equation V=\frac{0±\frac{3\sqrt{53097}}{25}}{2} when ± is plus.

$$V=\frac{3\sqrt{53097}}{50}$$

Now solve the equation V=\frac{0±\frac{3\sqrt{53097}}{25}}{2} when ± is minus.

$$V=-\frac{3\sqrt{53097}}{50}$$

The equation is now solved.

$$V=\frac{3\sqrt{53097}}{50} V=-\frac{3\sqrt{53097}}{50}$$