Solve 14.726=pi/4xx

$$14.726 = \frac { \pi } { 4 } x x$$

Solve for x

$$x = \frac{\sqrt{\frac{36815}{\pi}}}{25} \approx 4.330095326$$

$$x = -\frac{\sqrt{\frac{36815}{\pi}}}{25} \approx -4.330095326$$

Steps by Finding Square Root

Multiply both sides of the equation by 4.

$$58.904=\pi xx$$

Multiply x and x to get x^{2}.

$$58.904=\pi x^{2}$$

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

$$\pi x^{2}=58.904$$

Divide both sides by \pi .

$$\frac{\pi x^{2}}{\pi }=\frac{58.904}{\pi }$$

Dividing by \pi undoes the multiplication by \pi .

$$x^{2}=\frac{58.904}{\pi }$$

Divide 58.904 by \pi .

$$x^{2}=\frac{7363}{125\pi }$$

Take the square root of both sides of the equation.

$$x=\frac{7363}{5\sqrt{36815\pi }} x=-\frac{7363}{5\sqrt{36815\pi }}$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 4.

$$58.904=\pi xx$$

Multiply x and x to get x^{2}.

$$58.904=\pi x^{2}$$

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

$$\pi x^{2}=58.904$$

Subtract 58.904 from both sides.

$$\pi x^{2}-58.904=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute \pi for a, 0 for b, and -58.904 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\pi \left(-58.904\right)}}{2\pi }$$

Square 0.

$$x=\frac{0±\sqrt{-4\pi \left(-58.904\right)}}{2\pi }$$

Multiply -4 times \pi .

$$x=\frac{0±\sqrt{\left(-4\pi \right)\left(-58.904\right)}}{2\pi }$$

Multiply -4\pi times -58.904.

$$x=\frac{0±\sqrt{\frac{29452\pi }{125}}}{2\pi }$$

Take the square root of \frac{29452\pi }{125}.

$$x=\frac{0±\frac{2\sqrt{36815\pi }}{25}}{2\pi }$$

Now solve the equation x=\frac{0±\frac{2\sqrt{36815\pi }}{25}}{2\pi } when ± is plus.

$$x=\frac{7363}{5\sqrt{36815\pi }}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{36815\pi }}{25}}{2\pi } when ± is minus.

$$x=-\frac{7363}{5\sqrt{36815\pi }}$$

The equation is now solved.

$$x=\frac{7363}{5\sqrt{36815\pi }} x=-\frac{7363}{5\sqrt{36815\pi }}$$