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