Solve y^2=16666

$$y ^ { 2 } = 16666$$

Solve for y

$$y=\sqrt{16666}\approx 129.096862859$$

$$y=-\sqrt{16666}\approx -129.096862859$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$y=\sqrt{16666} y=-\sqrt{16666}$$

Steps Using the Quadratic Formula

Subtract 16666 from both sides.

$$y^{2}-16666=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -16666 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{0±\sqrt{0^{2}-4\left(-16666\right)}}{2}$$

Square 0.

$$y=\frac{0±\sqrt{-4\left(-16666\right)}}{2}$$

Multiply -4 times -16666.

$$y=\frac{0±\sqrt{66664}}{2}$$

Take the square root of 66664.

$$y=\frac{0±2\sqrt{16666}}{2}$$

Now solve the equation y=\frac{0±2\sqrt{16666}}{2} when ± is plus.

$$y=\sqrt{16666}$$

Now solve the equation y=\frac{0±2\sqrt{16666}}{2} when ± is minus.

$$y=-\sqrt{16666}$$

The equation is now solved.

$$y=\sqrt{16666} y=-\sqrt{16666}$$