SOLUTION: Find the three solutions to x^3=8 I've already factored it using the difference of cubes and found one solution, 2, but when i get to the quadratic formula I'm confused.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find the three solutions to x^3=8 I've already factored it using the difference of cubes and found one solution, 2, but when i get to the quadratic formula I'm confused.       Log On


   

Question 694171: Find the three solutions to x^3=8
I've already factored it using the difference of cubes and found one solution, 2, but when i get to the quadratic formula I'm confused.
Answer by MathTherapy(10858) About Me  (Show Source):
You can put this solution on YOUR website!
Find the three solutions to x^3=8
I've already factored it using the difference of cubes and found one solution, 2, but when i get to the quadratic formula I'm confused.

x%5E3+=+8 ----- x%5E3+-+8+=+0

%28x+-+2%29%28x%5E2+%2B+2x+%2B+4%29 ---- Applying difference of cube factorization

The discriminant (sqrt%28-+12%29) for the quadratic equation: x%5E2+%2B+2x+%2B+4 signifies roots that are imaginary (< 0), so the only solution is highlight_green%28x+=+2%29