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3 Answers
- Rita the dogLv 77 years agoFavorite Answer
It will have to have at least 1 complex coefficient. All real coefficients implies imaginary solutions come in pairs. So, either 2 complex solution and 2 real solutions or 4 complex solutions and no real solutions.
If you allow complex coefficients then for example
x^4 - i x^3 + 4x^2 - 4i x = 0
has one real solution, x=0, and 3 complex solutions, x=i, x=2i, and x=-2i.
- Your AnswerLv 67 years ago
(ax -- b)(cx -- di) = 0 OR acx^2 -- x(bc + adi) +bdi = 0 ANSAWER
where a, b, c, d are non-imaginary numbers.
