Solve 250xx=24

$$250 x x = 24$$

Solve for x

$$x=\frac{2\sqrt{15}}{25}\approx 0.309838668$$

$$x=-\frac{2\sqrt{15}}{25}\approx -0.309838668$$

Steps by Finding Square Root

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

$$250x^{2}=24$$

Divide both sides by 250.

$$x^{2}=\frac{24}{250}$$

Reduce the fraction \frac{24}{250} to lowest terms by extracting and canceling out 2.

$$x^{2}=\frac{12}{125}$$

Take the square root of both sides of the equation.

$$x=\frac{2\sqrt{15}}{25} x=-\frac{2\sqrt{15}}{25}$$

Steps Using the Quadratic Formula

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

$$250x^{2}=24$$

Subtract 24 from both sides.

$$250x^{2}-24=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 250 for a, 0 for b, and -24 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 250\left(-24\right)}}{2\times 250}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 250\left(-24\right)}}{2\times 250}$$

Multiply -4 times 250.

$$x=\frac{0±\sqrt{-1000\left(-24\right)}}{2\times 250}$$

Multiply -1000 times -24.

$$x=\frac{0±\sqrt{24000}}{2\times 250}$$

Take the square root of 24000.

$$x=\frac{0±40\sqrt{15}}{2\times 250}$$

Multiply 2 times 250.

$$x=\frac{0±40\sqrt{15}}{500}$$

Now solve the equation x=\frac{0±40\sqrt{15}}{500} when ± is plus.

$$x=\frac{2\sqrt{15}}{25}$$

Now solve the equation x=\frac{0±40\sqrt{15}}{500} when ± is minus.

$$x=-\frac{2\sqrt{15}}{25}$$

The equation is now solved.

$$x=\frac{2\sqrt{15}}{25} x=-\frac{2\sqrt{15}}{25}$$