(Question 3 (a) from the CSSA trial)
question was something like find values of x if x is real and (x + i)^4 is imaginary.
here's what I did:
= x^4 + 4x^3i + 6x^2i^2 + 4xi^3 + i^4
= x^4 - 6x^2 + 1 + i(4x^3 - 4x) -> imaginary, real part = 0
ie x^4 - 6x^2 + 1 = 0
using the quadtratic...