If α and β are roots of the equation x^2 - 4 2kx + 2e^ 4 k - 1 = 0 for some k, and ^2 + ^2 = 66, then ^3 + ^3...

Question

If α and β are roots of the equation x^2 - 4 2kx + 2e^ 4 k - 1 = 0 for some k, and ^2 + ^2 = 66, then ^3 + ^3 is equal to:

Accepted Answer

(2)

JEE Main 2014 Mathematics question