Question

can somebody show me step by step how to find all the solutions for x^6 + 64 = 0

Answer 1

(x^3 + 8)(x^3 - 8)

Answer 2

Think of it like this:
\[(x^2)^3+(4)^3\]

Answer 3

Now factor it. It is the sum of two cubes.

Answer 4

It shows that the answers are \[\pm2i , \sqrt{3}\pm i , -\sqrt{3}\pm i \] how would i do that?? Sorry this stuff confuses me so much..

Answer 5

Did you factor it?

Answer 6

how would you factor them if the first number is raised to two powers?