Answer:

A.First Solution

x=(-2-sqrt(-12))/2=-1-isqrt(3)=-1.0000-1.7321i

x=(-2+sqrt(-12))/2=-1+isqrt(3)=-1.0000+1.7321i

x=2

x=0

Another solution

2.1 Pull out like factors :

x4 - 8x = x • (x3 - 8)

Trying to factor as a Difference of Cubes:

2.2 Factoring: x3 - 8

Theory : A difference of two perfect cubes, a3 - b3 can be factored into

(a-b) • (a2 +ab +b2)

Proof : (a-b)•(a2+ab+b2) =

a3+a2b+ab2-ba2-b2a-b3 =

a3+(a2b-ba2)+(ab2-b2a)-b3 =

a3+0+0-b3 =

a3-b3

Check : 8 is the cube of 2

Check : x3 is the cube of x1

Factorization is :

(x4 + 4)(x-8)

Letter b