Solve x/frac{50{x}}=2

$$\frac{ x }{ \frac{ 50 }{ x } } = 2$$

Solve for x

$$x=10$$

$$x=-10$$

Steps by Finding Square Root

Variable x cannot be equal to 0 since division by zero is not defined. Divide x by \frac{50}{x} by multiplying x by the reciprocal of \frac{50}{x}.

$$\frac{xx}{50}=2$$

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

$$\frac{x^{2}}{50}=2$$

Multiply both sides by 50.

$$x^{2}=2\times 50$$

Multiply 2 and 50 to get 100.

$$x^{2}=100$$

Take the square root of both sides of the equation.

$$x=10 x=-10$$

Steps Using the Quadratic Formula

Variable x cannot be equal to 0 since division by zero is not defined. Divide x by \frac{50}{x} by multiplying x by the reciprocal of \frac{50}{x}.

$$\frac{xx}{50}=2$$

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

$$\frac{x^{2}}{50}=2$$

Subtract 2 from both sides.

$$\frac{x^{2}}{50}-2=0$$

Multiply both sides of the equation by 50.

$$x^{2}-100=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -100 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-100\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-100\right)}}{2}$$

Multiply -4 times -100.

$$x=\frac{0±\sqrt{400}}{2}$$

Take the square root of 400.

$$x=\frac{0±20}{2}$$

Now solve the equation x=\frac{0±20}{2} when ± is plus. Divide 20 by 2.

$$x=10$$

Now solve the equation x=\frac{0±20}{2} when ± is minus. Divide -20 by 2.

$$x=-10$$

The equation is now solved.

$$x=10 x=-10$$