Question

x^3-1=0
I understand how one of the answers is 1, but why is it also -1+-root 3 all over 2

Answer 1

it's not. 1 is the only root

Answer 2

no i don't think so...-1+-root 3 all over 2 is listed in the answer key

Answer 3

then either there is typo or you're looking at the solution to a different problem. 1 is the only solution.

Answer 4

Look at the solution again, is there an "i" , the imaginary number, anywhere?

Answer 5

no, but do you think there should be? its possible he made a typo

Answer 6

1 is the real root.

the other two complex root are
\[\frac{-1 \pm \sqrt{3}\ i}{2}\]

Answer 7

how did you get that?

Answer 8

(x^3 - 1) = (x - 1) (x^2 + x + 1)

the complex roots are found by solving x^2 + x + 1 using quadratic fomula

Answer 9

thanks!