Consider the quartic equation z
z^4 + 4z^3 + 8z^2 + 80z + 400 = 0, z ∈ R.
Two of the roots of this equation are a + bi and b + ai, where a, b ∈ R.
Find the possible values of a
z^4 + 4z^3 + 8z^2 + 80z + 400 = 0, z ∈ R.
Two of the roots of this equation are a + bi and b + ai, where a, b ∈ R.
Find the possible values of a