Problem Of The Week 15
a, b, c, and d are the solutions of x^4+7x^2-3x+2=0. Find a polynomial with integer coefficients whose roots are (a+b+c)/d^2, (a+b+d)/c^2, (a+c+d)/b^2, and (b+c+d)/a^2. Find the sum of roots of this equation
A very simple problem, one should take about 1-1.5 mins to solve this. If you take more, revise equations please!!