Question

Find all real number solutions

Answer 1

x = -27 or 1

Explanation:

Let z = x^(1/3). Then the equation becomes the quadratic ...

z^2 +2z -3 = 0

(z +3)(z -1) = 0

z = -3 or +1 . . . . values of z that make the factors be zero.

Then

x = z^3

so the two solutions are ...

x = (-3)^3 = -27

x = 1^3 = 1