Solve for all solutions of the equation. x3 - 8 = 0

x3=0+8

×3=8

x=8/3

Step-by-step explanation:

x = 2, -1+i√3, −1−i√3

Step-by-step explanation:

Factoring the left side of the equation:

x^3−2^3=0

(x−2)(x^2+x⋅2+2^2)=0

(x−2)(x^2+2x+2^2)=0

(x−2)(x^2+2x+4)=0

x−2=0

x^2+2x+4=0

First solution:

x−2=0

x=2

Second and third solution:

x^2+2x+4=0

−2±√2^2−4⋅(1⋅4)/2⋅1

x=−2±2i√3/2⋅1

x=−2±2i√3/2

−2±2i√3/2  

x=−1±i√3

x=−1+i√3

x=−1−i√3

x=−1+i√3,−1−i√3

Final

x=2,−1+i√3,−1−i√3

i would say c is the best answer, hope it's right!

good luck! =)

cutie~