Solve xx/2=162

$$x \frac { x } { 2 } = 162$$

Solve for x

$$x=18$$

$$x=-18$$

Steps by Finding Square Root

Multiply both sides of the equation by 2.

$$xx=324$$

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

$$x^{2}=324$$

Take the square root of both sides of the equation.

$$x=18 x=-18$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 2.

$$xx=324$$

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

$$x^{2}=324$$

Subtract 324 from both sides.

$$x^{2}-324=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -324 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-324\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-324\right)}}{2}$$

Multiply -4 times -324.

$$x=\frac{0±\sqrt{1296}}{2}$$

Take the square root of 1296.

$$x=\frac{0±36}{2}$$

Now solve the equation x=\frac{0±36}{2} when ± is plus. Divide 36 by 2.

$$x=18$$

Now solve the equation x=\frac{0±36}{2} when ± is minus. Divide -36 by 2.

$$x=-18$$

The equation is now solved.

$$x=18 x=-18$$