Question

x^(2/3)-2x^(1/3)-3=0
x=___
simplify, use radicals as needed, express complex numbers in terms of i

Answer 1

x = 27, do you need the work?

Answer 2

no... thnk u!!!

Answer 3

x^1/3 = a
x^2/3 = [x^1/3]^2 = x^2
x^(2/3)-2x^(1/3)-3=0 becomes
a^2 -2a -3 =0
We will solve first for a
a^2 -3a +a -3 =0
a(a-3) +1 (a-3) = 0
(a-3) (a+1) =0
a-3 =0 means a = 3
a+1 =0 means a = -1
Plug in x^1/3 = a
x =a^3
a =3 means x = 27
a=-1 means x = -1