Solve 5x*6262x=6

$$5x \times 6262x=6$$

Solve for x

$$x=\frac{\sqrt{46965}}{15655}\approx 0.013843123$$

$$x=-\frac{\sqrt{46965}}{15655}\approx -0.013843123$$

Steps by Finding Square Root

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

$$5x^{2}\times 6262=6$$

Multiply 5 and 6262 to get 31310.

$$31310x^{2}=6$$

Divide both sides by 31310.

$$x^{2}=\frac{6}{31310}$$

Reduce the fraction \frac{6}{31310} to lowest terms by extracting and canceling out 2.

$$x^{2}=\frac{3}{15655}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{46965}}{15655} x=-\frac{\sqrt{46965}}{15655}$$

Steps Using the Quadratic Formula

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

$$5x^{2}\times 6262=6$$

Multiply 5 and 6262 to get 31310.

$$31310x^{2}=6$$

Subtract 6 from both sides.

$$31310x^{2}-6=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 31310 for a, 0 for b, and -6 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 31310\left(-6\right)}}{2\times 31310}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 31310\left(-6\right)}}{2\times 31310}$$

Multiply -4 times 31310.

$$x=\frac{0±\sqrt{-125240\left(-6\right)}}{2\times 31310}$$

Multiply -125240 times -6.

$$x=\frac{0±\sqrt{751440}}{2\times 31310}$$

Take the square root of 751440.

$$x=\frac{0±4\sqrt{46965}}{2\times 31310}$$

Multiply 2 times 31310.

$$x=\frac{0±4\sqrt{46965}}{62620}$$

Now solve the equation x=\frac{0±4\sqrt{46965}}{62620} when ± is plus.

$$x=\frac{\sqrt{46965}}{15655}$$

Now solve the equation x=\frac{0±4\sqrt{46965}}{62620} when ± is minus.

$$x=-\frac{\sqrt{46965}}{15655}$$

The equation is now solved.

$$x=\frac{\sqrt{46965}}{15655} x=-\frac{\sqrt{46965}}{15655}$$