Question

What are the real and complex solutions of the polynomial equation x^3-216=0

Answer 1

x^3 = 216

x^3 = 6*6*6

x^3 = 6^3
what is x value?

Answer 2

Factor this using difference of cubes
\[a^3 - b^3 = (a-b)(a^2+ab+b^2)\]
set each factor equal to 0, and solve using quadratic formula