Hello from MrBillDoesMath!
Answer: 0, 4, -2 -2 sqrt(3) i, -2 + 2 sqrt(3) i
Discussion:
Factor the expression:
x^4 - 64x = x (x^3 -64) = x (x-4)* (x^2 +4x + 16)
The roots 0, 4 are evident from the above factorization. Use the quadratic formula to find the roots of the quadratic. They are
x = -2 -2 sqrt(3) i
x = -2 + 2 sqrt(3) i
Thank you,
MrB
