Answer :

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]

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