Question$h = -81 t^{2} + a t + d$

Studdy Solution
Apply the quadratic formula, which is given by:
$$t = \frac{-B \pm \sqrt{B^2 - 4AC}}{2A}$$
Substitute the identified coefficients $A = -81$, $B = a$, and $C = d - h$ into the formula:
$$t = \frac{-a \pm \sqrt{a^2 - 4(-81)(d - h)}}{2(-81)}$$
The expression for $t$ in terms of $h$, $a$, and $d$ is:
$$t = \frac{-a \pm \sqrt{a^2 + 324(d - h)}}{-162}$$