Solve 4*9t^2=4.88

$$4 \cdot 9 t ^ { 2 } = 4.88$$

Solve for t

$$t=\frac{\sqrt{122}}{30}\approx 0.368178701$$

$$t=-\frac{\sqrt{122}}{30}\approx -0.368178701$$

Steps by Finding Square Root

Multiply 4 and 9 to get 36.

$$36t^{2}=4.88$$

Divide both sides by 36.

$$t^{2}=\frac{4.88}{36}$$

Expand \frac{4.88}{36} by multiplying both numerator and the denominator by 100.

$$t^{2}=\frac{488}{3600}$$

Reduce the fraction \frac{488}{3600} to lowest terms by extracting and canceling out 8.

$$t^{2}=\frac{61}{450}$$

Take the square root of both sides of the equation.

$$t=\frac{\sqrt{122}}{30} t=-\frac{\sqrt{122}}{30}$$

Steps Using the Quadratic Formula

Multiply 4 and 9 to get 36.

$$36t^{2}=4.88$$

Subtract 4.88 from both sides.

$$36t^{2}-4.88=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 36 for a, 0 for b, and -4.88 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$t=\frac{0±\sqrt{0^{2}-4\times 36\left(-4.88\right)}}{2\times 36}$$

Square 0.

$$t=\frac{0±\sqrt{-4\times 36\left(-4.88\right)}}{2\times 36}$$

Multiply -4 times 36.

$$t=\frac{0±\sqrt{-144\left(-4.88\right)}}{2\times 36}$$

Multiply -144 times -4.88.

$$t=\frac{0±\sqrt{702.72}}{2\times 36}$$

Take the square root of 702.72.

$$t=\frac{0±\frac{12\sqrt{122}}{5}}{2\times 36}$$

Multiply 2 times 36.

$$t=\frac{0±\frac{12\sqrt{122}}{5}}{72}$$

Now solve the equation t=\frac{0±\frac{12\sqrt{122}}{5}}{72} when ± is plus.

$$t=\frac{\sqrt{122}}{30}$$

Now solve the equation t=\frac{0±\frac{12\sqrt{122}}{5}}{72} when ± is minus.

$$t=-\frac{\sqrt{122}}{30}$$

The equation is now solved.

$$t=\frac{\sqrt{122}}{30} t=-\frac{\sqrt{122}}{30}$$