How Do You Calculate Time When Velocity Equals Zero in a Complex Equation?

[math4life]

Homework Statement

This is more of a math question - I just want to know how I can find the value of t when v=0.

0=5(t^3/2)-(27/2)(t^1/2)+9(t^-1/2)

Homework Equations

The Attempt at a Solution

I do not know how to solve this. Please show steps. Thanks.

 

[berkeman]

Hint: What happens if you multiply through by $$\sqrt{t}$$ ?

Homework Statement

This is more of a math question - I just want to know how I can find the value of t when v=0.

0=5(t^3/2)-(27/2)(t^1/2)+9(t^-1/2)

Homework Equations

The Attempt at a Solution

I do not know how to solve this. Please show steps. Thanks.