Solve x^2=162

$$x ^ { 2 } = 162$$

Solve for x

$$x=9\sqrt{2}\approx 12.727922061$$

$$x=-9\sqrt{2}\approx -12.727922061$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=9\sqrt{2} x=-9\sqrt{2}$$

Steps Using the Quadratic Formula

Subtract 162 from both sides.

$$x^{2}-162=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -162 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-162\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-162\right)}}{2}$$

Multiply -4 times -162.

$$x=\frac{0±\sqrt{648}}{2}$$

Take the square root of 648.

$$x=\frac{0±18\sqrt{2}}{2}$$

Now solve the equation x=\frac{0±18\sqrt{2}}{2} when ± is plus.

$$x=9\sqrt{2}$$

Now solve the equation x=\frac{0±18\sqrt{2}}{2} when ± is minus.

$$x=-9\sqrt{2}$$

The equation is now solved.

$$x=9\sqrt{2} x=-9\sqrt{2}$$