Problema Solution

5x^(1/6)-2x^(1/3) -2 =0

solve the exponential equation.

Answer provided by our tutors

Let x^(1/6) = t

 

=> 5t - 2t^2 - 2 = 0

=> 2t^2 - 5t + 2 = 0

 

=> 2t(t-2) - 1(t-2) = 0

 

=> (2t-1)(t-2) = 0

=> t = 1/2 or t = 2

=> x = t^6

=> x = 1/64 or 64