Question

The equation: x3=−8
will have how many solutions for x ?(1 point)
Responses

Two solutions: x = -8/3 and x = 8/3 since x^3 equations always have 2 solutions
Two solutions: x = -8/3 and x = 8/3 since x^3 equations always have 2 solutions

One solution: x = -2 since (-2)^3 = -8
One solution: x = -2 since (-2)^3 = -8

Two solutions: x = 2 and x = -2 since 2^3 = 8 and (-2)^3 = -8
Two solutions: x = 2 and x = -2 since 2^3 = 8 and (-2)^3 = -8

One solution: x = -8/3 since the inverse operation is to divide by 3.

Answer 1

Correct choice: One solution: x = -2 since (-2)^3 = -8.

(If considering complex numbers, the cubic has three roots: x = -2 and x = 1 ± i√3.)