Answer
t $\approx$ ± 2.83
Work Step by Step
$\frac{1}{2}$$t^{2}$ - 4 = 0
The first step is to add 4 to both sides:
$\frac{1}{2}$$t^{2}$ - 4 + 4 = 0 + 4
$\frac{1}{2}$$t^{2}$ = 4
Next, divide both sides by $\frac{1}{2}$ (which is the same as multiplying by 2) to help isolate the t:
2($\frac{1}{2}$$t^{2}$) = 2(4)
$t^{2}$ = 8
Lastly, take the square root of both sides:
$\sqrt t^{2}$ = $\sqrt 8$
t = ± 2$\sqrt 2$ $\approx$ ± 2.83