Solve q^2=32580/36200

$$q ^ { 2 } = \frac { 32580 } { 36200 }$$

Solve for q

$$q=\frac{3\sqrt{10}}{10}\approx 0.948683298$$

$$q=-\frac{3\sqrt{10}}{10}\approx -0.948683298$$

Steps by Finding Square Root

Reduce the fraction \frac{32580}{36200} to lowest terms by extracting and canceling out 3620.

$$q^{2}=\frac{9}{10}$$

Take the square root of both sides of the equation.

$$q=\frac{3\sqrt{10}}{10} q=-\frac{3\sqrt{10}}{10}$$

Steps Using the Quadratic Formula

Reduce the fraction \frac{32580}{36200} to lowest terms by extracting and canceling out 3620.

$$q^{2}=\frac{9}{10}$$

Subtract \frac{9}{10} from both sides.

$$q^{2}-\frac{9}{10}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{9}{10} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$q=\frac{0±\sqrt{0^{2}-4\left(-\frac{9}{10}\right)}}{2}$$

Square 0.

$$q=\frac{0±\sqrt{-4\left(-\frac{9}{10}\right)}}{2}$$

Multiply -4 times -\frac{9}{10}.

$$q=\frac{0±\sqrt{\frac{18}{5}}}{2}$$

Take the square root of \frac{18}{5}.

$$q=\frac{0±\frac{3\sqrt{10}}{5}}{2}$$

Now solve the equation q=\frac{0±\frac{3\sqrt{10}}{5}}{2} when ± is plus.

$$q=\frac{3\sqrt{10}}{10}$$

Now solve the equation q=\frac{0±\frac{3\sqrt{10}}{5}}{2} when ± is minus.

$$q=-\frac{3\sqrt{10}}{10}$$

The equation is now solved.

$$q=\frac{3\sqrt{10}}{10} q=-\frac{3\sqrt{10}}{10}$$