The equation 2k³ - 4k^(3/2) + 1 = 0
Subsitute p² for k³ to find the value of k.
i got 2p²-4p + 1, and it doesnt factorise to give k=0.44, which is at the back of the book!
i even used the discriminant thing.

Hello,

keep in mind:

Now plug in these values of p into the equation to calculate k and you'll get: