Solve 5x*xdiv52=6

$$5x \times x \div 52=6$$

Solve for x

$$x = \frac{2 \sqrt{390}}{5} \approx 7.899367063$$

$$x = -\frac{2 \sqrt{390}}{5} \approx -7.899367063$$

Steps by Finding Square Root

Multiply both sides by 52.

$$5xx=6\times 52$$

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

$$5x^{2}=6\times 52$$

Multiply 6 and 52 to get 312.

$$5x^{2}=312$$

Divide both sides by 5.

$$x^{2}=\frac{312}{5}$$

Take the square root of both sides of the equation.

$$x=\frac{2\sqrt{390}}{5} x=-\frac{2\sqrt{390}}{5}$$

Steps Using the Quadratic Formula

Multiply both sides by 52.

$$5xx=6\times 52$$

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

$$5x^{2}=6\times 52$$

Multiply 6 and 52 to get 312.

$$5x^{2}=312$$

Subtract 312 from both sides.

$$5x^{2}-312=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 5 for a, 0 for b, and -312 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 5\left(-312\right)}}{2\times 5}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 5\left(-312\right)}}{2\times 5}$$

Multiply -4 times 5.

$$x=\frac{0±\sqrt{-20\left(-312\right)}}{2\times 5}$$

Multiply -20 times -312.

$$x=\frac{0±\sqrt{6240}}{2\times 5}$$

Take the square root of 6240.

$$x=\frac{0±4\sqrt{390}}{2\times 5}$$

Multiply 2 times 5.

$$x=\frac{0±4\sqrt{390}}{10}$$

Now solve the equation x=\frac{0±4\sqrt{390}}{10} when ± is plus.

$$x=\frac{2\sqrt{390}}{5}$$

Now solve the equation x=\frac{0±4\sqrt{390}}{10} when ± is minus.

$$x=-\frac{2\sqrt{390}}{5}$$

The equation is now solved.

$$x=\frac{2\sqrt{390}}{5} x=-\frac{2\sqrt{390}}{5}$$