Answer:
t = ± \(\sqrt{\frac{k-b}{a} }\)
Step-by-step explanation:
given
k = at² + b ( subtract b from both sides )
k - b = at² ( isolate t² by dividing both sides by a )
\(\frac{k-b}{a}\) = t² ( take square root of both sides )
± \(\sqrt{\frac{k-b}{a} }\) = \(\sqrt{t^2}\) , that is
t = ± \(\sqrt{\frac{k-b}{a} }\)