X^4+9x^3+31x^2+49x+3=0 find all solutions.

x^4 + 9x^3 + 31x^2 + 49x + 3 = 0

I see no rational roots, so you will have to fall back on your favorite numeric method to approximate them. Some data about the function can be found here:

http://www.wolframalpha.com/input/?i=x^4+%2B+9x^3+%2B+31x^2+%2B+49x+%2B+3