Question

27x^3-8=0 all real solutions

Answer 1

1. x =(-6-√-108)/18=(-1-i√ 3 )/3= -0.3333-0.5774i 
2. x =(-6+√-108)/18=(-1+i√ 3 )/3= -0.3333+0.5774i 
3. x = 2/3 = 0.667

Answer 2

We have, x^3 = 8/27;
The only real solution is x = $\sqrt[3]{ \frac{8}{27} } = 2/3;$