Solve 286=m^2

$$286 = m ^ { 2 }$$

Solve for m

$$m=\sqrt{286}\approx 16.911534525$$

$$m=-\sqrt{286}\approx -16.911534525$$

Steps by Finding Square Root

Swap sides so that all variable terms are on the left hand side.

$$m^{2}=286$$

Take the square root of both sides of the equation.

$$m=\sqrt{286} m=-\sqrt{286}$$

Steps Using the Quadratic Formula

Swap sides so that all variable terms are on the left hand side.

$$m^{2}=286$$

Subtract 286 from both sides.

$$m^{2}-286=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -286 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}-4\left(-286\right)}}{2}$$

Square 0.

$$m=\frac{0±\sqrt{-4\left(-286\right)}}{2}$$

Multiply -4 times -286.

$$m=\frac{0±\sqrt{1144}}{2}$$

Take the square root of 1144.

$$m=\frac{0±2\sqrt{286}}{2}$$

Now solve the equation m=\frac{0±2\sqrt{286}}{2} when ± is plus.

$$m=\sqrt{286}$$

Now solve the equation m=\frac{0±2\sqrt{286}}{2} when ± is minus.

$$m=-\sqrt{286}$$

The equation is now solved.

$$m=\sqrt{286} m=-\sqrt{286}$$