(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I've been given the following quartic equation in a question:

[tex]x = (1 + 2a + a^2)x - (2a + 3a^2 + a^3)x^2 + (2a^2 + 2a^3)x^3 - a^3x^4[/tex]

and need to show that two of the solutions (that aren't 0 and 1) can be given by:

[tex] x= \frac{(2+a) \pm \sqrt{a^2 - 4}}{2a}[/tex]

2. The attempt at a solution

I think I have to start by dividing it all by x - when I put this new equation into wolfram alpha it gives the right answer, I just have no idea how to get there (or where to start), since I haven't done a whole lot with cubics or quartics before.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Solving a cubic equation

**Physics Forums | Science Articles, Homework Help, Discussion**