What are the real or imaginary solutions of the polynomial equation?

x^3 = 216

Question

What are the real or imaginary solutions of the polynomial equation?

x^3 = 216

anonymous · Answer

I got to the point where I have my real solution, 6, and I have a,b, and c and I put it into the quadratic equation.

anonymous · Answer

So I have -6 +/- sqrt-108/2 as my quadratic equation but I don't know what to do next, someone please help!

anonymous · Answer

6

anonymous · Answer

Yes, That's my real solution, But I need the imaginary ones too

anonymous · Answer

x = 6 or x+3 = 3 i sqrt(3) or x+3 = -3 i sqrt(3)

anonymous · Answer

Possible answers: 
–6, 3 + 3i sqrt7, and 3 – 3i sqrt7
–6, 3 + 3i sqrt3, and 3 – 3i sqrt3
6, 3 + 3i, sqrt7 and 3 – 3i sqrt7
6, –3 + 3i sqrt3, and –3 – 3i sqrt3

anonymous · Answer

the third one

anonymous · Answer

But I want to know how to get it! This is what I have|dw:1354565479902:dw|
What now?