Solve 98t^2=37

$$98 t ^ { 2 } = 37$$

Solve for t

$$t=\frac{\sqrt{74}}{14}\approx 0.614451805$$

$$t=-\frac{\sqrt{74}}{14}\approx -0.614451805$$

Steps by Finding Square Root

Divide both sides by 98.

$$t^{2}=\frac{37}{98}$$

Take the square root of both sides of the equation.

$$t=\frac{\sqrt{74}}{14} t=-\frac{\sqrt{74}}{14}$$

Steps Using the Quadratic Formula

Divide both sides by 98.

$$t^{2}=\frac{37}{98}$$

Subtract \frac{37}{98} from both sides.

$$t^{2}-\frac{37}{98}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{37}{98} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$t=\frac{0±\sqrt{0^{2}-4\left(-\frac{37}{98}\right)}}{2}$$

Square 0.

$$t=\frac{0±\sqrt{-4\left(-\frac{37}{98}\right)}}{2}$$

Multiply -4 times -\frac{37}{98}.

$$t=\frac{0±\sqrt{\frac{74}{49}}}{2}$$

Take the square root of \frac{74}{49}.

$$t=\frac{0±\frac{\sqrt{74}}{7}}{2}$$

Now solve the equation t=\frac{0±\frac{\sqrt{74}}{7}}{2} when ± is plus.

$$t=\frac{\sqrt{74}}{14}$$

Now solve the equation t=\frac{0±\frac{\sqrt{74}}{7}}{2} when ± is minus.

$$t=-\frac{\sqrt{74}}{14}$$

The equation is now solved.

$$t=\frac{\sqrt{74}}{14} t=-\frac{\sqrt{74}}{14}$$