Solve t^2=-1/60

$$t ^ { 2 } = - \frac { 1 } { 60 }$$

Solve for t

$$t=-\frac{\sqrt{15}i}{30}\approx -0-0.129099445i$$

$$t=\frac{\sqrt{15}i}{30}\approx 0.129099445i$$

Steps by Finding Square Root

The equation is now solved.

$$t=\frac{\sqrt{15}i}{30} t=-\frac{\sqrt{15}i}{30}$$

Steps Using the Quadratic Formula

Add \frac{1}{60} to both sides.

$$t^{2}+\frac{1}{60}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and \frac{1}{60} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$t=\frac{0±\sqrt{0^{2}-4\times \frac{1}{60}}}{2}$$

Square 0.

$$t=\frac{0±\sqrt{-4\times \frac{1}{60}}}{2}$$

Multiply -4 times \frac{1}{60}.

$$t=\frac{0±\sqrt{-\frac{1}{15}}}{2}$$

Take the square root of -\frac{1}{15}.

$$t=\frac{0±\frac{\sqrt{15}i}{15}}{2}$$

Now solve the equation t=\frac{0±\frac{\sqrt{15}i}{15}}{2} when ± is plus.

$$t=\frac{\sqrt{15}i}{30}$$

Now solve the equation t=\frac{0±\frac{\sqrt{15}i}{15}}{2} when ± is minus.

$$t=-\frac{\sqrt{15}i}{30}$$

The equation is now solved.

$$t=\frac{\sqrt{15}i}{30} t=-\frac{\sqrt{15}i}{30}$$