1. The problem statement, all variables and given/known data A third degree polynomial has 3 roots that, when arranged in ascending order, form an arithmetic progression in which the sum of the 3 roots equal 9/5. The difference between the square of the greatest root and the smallest root is 24/5 Given that the coefficient of the highest degree term is 5, determine: a) the arithmetic progression b) the coefficient of the first degree term of the polynomial (I hope I translated this right) 2. Relevant equations None that I can think of. 3. The attempt at a solution Using the first 2 pieces of given information I constructed the following: http://img29.imageshack.us/img29/4939/systemofequations.jpg [Broken] With just the first equation I was able to determine that x=3/5 (since the r's cancel themselves out) After that, I'm completely lost. I don't know how to find the value of r. I can tell you guys right now that it's supposed to equal r=2, but I don't know how or why. If I substitute the value of x into the second equation they cancel themselves out anyway and I get a different answer for r. I also don't know what to do after I've found the value of r.