Solve 29500x^2=2496

$$29500 x ^ { 2 } = 2496$$

Solve for x

$$x=\frac{4\sqrt{11505}}{1475}\approx 0.290878273$$

$$x=-\frac{4\sqrt{11505}}{1475}\approx -0.290878273$$

Steps by Finding Square Root

Divide both sides by 29500.

$$x^{2}=\frac{2496}{29500}$$

Reduce the fraction \frac{2496}{29500} to lowest terms by extracting and canceling out 4.

$$x^{2}=\frac{624}{7375}$$

Take the square root of both sides of the equation.

$$x=\frac{4\sqrt{11505}}{1475} x=-\frac{4\sqrt{11505}}{1475}$$

Steps Using the Quadratic Formula

Divide both sides by 29500.

$$x^{2}=\frac{2496}{29500}$$

Reduce the fraction \frac{2496}{29500} to lowest terms by extracting and canceling out 4.

$$x^{2}=\frac{624}{7375}$$

Subtract \frac{624}{7375} from both sides.

$$x^{2}-\frac{624}{7375}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{624}{7375} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{624}{7375}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{624}{7375}\right)}}{2}$$

Multiply -4 times -\frac{624}{7375}.

$$x=\frac{0±\sqrt{\frac{2496}{7375}}}{2}$$

Take the square root of \frac{2496}{7375}.

$$x=\frac{0±\frac{8\sqrt{11505}}{1475}}{2}$$

Now solve the equation x=\frac{0±\frac{8\sqrt{11505}}{1475}}{2} when ± is plus.

$$x=\frac{4\sqrt{11505}}{1475}$$

Now solve the equation x=\frac{0±\frac{8\sqrt{11505}}{1475}}{2} when ± is minus.

$$x=-\frac{4\sqrt{11505}}{1475}$$

The equation is now solved.

$$x=\frac{4\sqrt{11505}}{1475} x=-\frac{4\sqrt{11505}}{1475}$$