Question

If x = 2^1/3 + 2^-1/3 prove that 2x - 6x - 4 = 0

Answer 1

Answer:

Given that x = 2 + 2^(2/3) + 2^(1/3) so x - 2 = 2^ (2/3) + 2^(1/3) =(x-2)^3 = [2^(2/3)+2^(1/3)]^3 use (a-b)^3= a^3 - b^3 - 3ab(a-b) and (a+b)^3=  ..