Question

Solve in C : z^6 = -1

Answer 1

Hint:

z^6 = -1

z^6 + 1 = 0

(z^2)^3 + 1^3 = 0

(z^2 + 1)((z^2)^2 + (z^2)*1 + 1^2) = 0

(z^2 + 1)(z^4 + z^2 + 1) = 0

Answer 2

thank you
z=i or z=-i
but (z^4 + z^2 + 1) = 0
let z^2 =t t in C
t^2-t+1=0
delta =......

Answer 3

use the quad formula to solve for t in t^2-t+1=0

Answer 4

oh made a typo, should be z^4 - z^2 + 1

Answer 5

but you caught it

Answer 6

delta = b^2-4ac and a =1 b=-1 c=1

Answer 7

yes

Answer 8

delta = -3=3i^2

Answer 9

not sure what you mean there

Answer 10

I am sure