MathDB

68

Part of 1986 IMO Longlists

Problems(1)

On the equation x^4 + ax^3 + bx^2 + ax + 1 = 0

Source:

8/29/2010
Consider the equation x4+ax3+bx2+ax+1=0x^4 + ax^3 + bx^2 + ax + 1 = 0 with real coefficients a,ba, b. Determine the number of distinct real roots and their multiplicities for various values of aa and bb. Display your result graphically in the (a,b)(a, b) plane.
algebrapolynomialalgebra unsolved