Solve y^2=14

$$y ^ { 2 } = 14$$

Solve for y

$$y=\sqrt{14}\approx 3.741657387$$

$$y=-\sqrt{14}\approx -3.741657387$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$y=\sqrt{14} y=-\sqrt{14}$$

Steps Using the Quadratic Formula

Subtract 14 from both sides.

$$y^{2}-14=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -14 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{0±\sqrt{0^{2}-4\left(-14\right)}}{2}$$

Square 0.

$$y=\frac{0±\sqrt{-4\left(-14\right)}}{2}$$

Multiply -4 times -14.

$$y=\frac{0±\sqrt{56}}{2}$$

Take the square root of 56.

$$y=\frac{0±2\sqrt{14}}{2}$$

Now solve the equation y=\frac{0±2\sqrt{14}}{2} when ± is plus.

$$y=\sqrt{14}$$

Now solve the equation y=\frac{0±2\sqrt{14}}{2} when ± is minus.

$$y=-\sqrt{14}$$

The equation is now solved.

$$y=\sqrt{14} y=-\sqrt{14}$$