Question

1. $(t - 2)^2 = -16$

Explanation:

Step1: Take square root of both sides

$\sqrt{(t-2)^2} = \sqrt{-16}$

Step2: Simplify using imaginary unit $i$

$t-2 = \pm 4i$

Step3: Isolate $t$

$t = 2 \pm 4i$

Answer:

$t=2+4i$ and $t=2-4i$