Solve 9*8x^2=10

$$9 \times 8 x ^ { 2 } = 10$$

Solve for x

$$x=\frac{\sqrt{5}}{6}\approx 0.372677996$$

$$x=-\frac{\sqrt{5}}{6}\approx -0.372677996$$

Steps by Finding Square Root

Multiply 9 and 8 to get 72.

$$72x^{2}=10$$

Divide both sides by 72.

$$x^{2}=\frac{10}{72}$$

Reduce the fraction \frac{10}{72} to lowest terms by extracting and canceling out 2.

$$x^{2}=\frac{5}{36}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{5}}{6} x=-\frac{\sqrt{5}}{6}$$

Steps Using the Quadratic Formula

Multiply 9 and 8 to get 72.

$$72x^{2}=10$$

Subtract 10 from both sides.

$$72x^{2}-10=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 72 for a, 0 for b, and -10 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 72\left(-10\right)}}{2\times 72}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 72\left(-10\right)}}{2\times 72}$$

Multiply -4 times 72.

$$x=\frac{0±\sqrt{-288\left(-10\right)}}{2\times 72}$$

Multiply -288 times -10.

$$x=\frac{0±\sqrt{2880}}{2\times 72}$$

Take the square root of 2880.

$$x=\frac{0±24\sqrt{5}}{2\times 72}$$

Multiply 2 times 72.

$$x=\frac{0±24\sqrt{5}}{144}$$

Now solve the equation x=\frac{0±24\sqrt{5}}{144} when ± is plus.

$$x=\frac{\sqrt{5}}{6}$$

Now solve the equation x=\frac{0±24\sqrt{5}}{144} when ± is minus.

$$x=-\frac{\sqrt{5}}{6}$$

The equation is now solved.

$$x=\frac{\sqrt{5}}{6} x=-\frac{\sqrt{5}}{6}$$