Question

Is there a slick way of solving for the complex roots of this: x^5-2x^4+3x^2-5=0

Answer 1

sure don't look like it
http://www.wolframalpha.com/input/?i=x^5-2x^4%2B3x^2-5%3D0

Answer 2

What about knowing the number of complex roots? (Obviously it is a multiple of 2.)