MathDB
x^4 -40x^2 +q = 0 has 4 roots in arithmetic progression

Source: Germany 2001 p1

February 23, 2020
Arithmetic ProgressionReal Rootspolynomialalgebraarithmetic sequence

Problem Statement

Determine all real numbers qq for which the equation x4āˆ’40x2+q=0x^4 -40x^2 +q = 0 has four real solutions which form an arithmetic progression