Solve x=3.2divx

$$x=3.2 \div x$$

Solve for x

$$x = \frac{4 \sqrt{5}}{5} \approx 1.788854382$$

$$x = -\frac{4 \sqrt{5}}{5} \approx -1.788854382$$

Steps by Finding Square Root

Subtract \frac{3.2}{x} from both sides.

$$x-\frac{3.2}{x}=0$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$xx-3.2=0$$

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

$$x^{2}-3.2=0$$

Add 3.2 to both sides. Anything plus zero gives itself.

$$x^{2}=3.2$$

Take the square root of both sides of the equation.

$$x=\frac{4\sqrt{5}}{5} x=-\frac{4\sqrt{5}}{5}$$

Steps Using the Quadratic Formula

Subtract \frac{3.2}{x} from both sides.

$$x-\frac{3.2}{x}=0$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$xx-3.2=0$$

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

$$x^{2}-3.2=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -3.2 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3.2\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-3.2\right)}}{2}$$

Multiply -4 times -3.2.

$$x=\frac{0±\sqrt{12.8}}{2}$$

Take the square root of 12.8.

$$x=\frac{0±\frac{8\sqrt{5}}{5}}{2}$$

Now solve the equation x=\frac{0±\frac{8\sqrt{5}}{5}}{2} when ± is plus.

$$x=\frac{4\sqrt{5}}{5}$$

Now solve the equation x=\frac{0±\frac{8\sqrt{5}}{5}}{2} when ± is minus.

$$x=-\frac{4\sqrt{5}}{5}$$

The equation is now solved.

$$x=\frac{4\sqrt{5}}{5} x=-\frac{4\sqrt{5}}{5}$$