## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$$t=3-\sqrt{6},\:t=3+\sqrt{6}$$
There are many ways to solve these problems. However, it is beneficial to use the quadratic formula, for this will work for almost any expression. Hence, we find: $$t=\frac{-96\pm \sqrt{96^2-4\left(-16\right)\left(-48\right)}}{2\left(-16\right)} \\ t=3-\sqrt{6},\:t=3+\sqrt{6}$$