Solve 5x*5x=10

$$5x \times 5x=10$$

Solve for x

$$x=\frac{\sqrt{10}}{5}\approx 0.632455532$$

$$x=-\frac{\sqrt{10}}{5}\approx -0.632455532$$

Steps by Finding Square Root

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

$$5x^{2}\times 5=10$$

Multiply 5 and 5 to get 25.

$$25x^{2}=10$$

Divide both sides by 25.

$$x^{2}=\frac{10}{25}$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

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

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{10}}{5} x=-\frac{\sqrt{10}}{5}$$

Steps Using the Quadratic Formula

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

$$5x^{2}\times 5=10$$

Multiply 5 and 5 to get 25.

$$25x^{2}=10$$

Subtract 10 from both sides.

$$25x^{2}-10=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 25 for a, 0 for b, and -10 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 25\left(-10\right)}}{2\times 25}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 25\left(-10\right)}}{2\times 25}$$

Multiply -4 times 25.

$$x=\frac{0±\sqrt{-100\left(-10\right)}}{2\times 25}$$

Multiply -100 times -10.

$$x=\frac{0±\sqrt{1000}}{2\times 25}$$

Take the square root of 1000.

$$x=\frac{0±10\sqrt{10}}{2\times 25}$$

Multiply 2 times 25.

$$x=\frac{0±10\sqrt{10}}{50}$$

Now solve the equation x=\frac{0±10\sqrt{10}}{50} when ± is plus.

$$x=\frac{\sqrt{10}}{5}$$

Now solve the equation x=\frac{0±10\sqrt{10}}{50} when ± is minus.

$$x=-\frac{\sqrt{10}}{5}$$

The equation is now solved.

$$x=\frac{\sqrt{10}}{5} x=-\frac{\sqrt{10}}{5}$$