MathDB
At most one nonzero real root!

Source: Bulgaria 1998 Problem 4

January 25, 2015
algebra unsolvedalgebra

Problem Statement

Let a1,a2,⋯ ,ana_1,a_2,\cdots ,a_n be real numbers, not all zero. Prove that the equation: 1+a1x+1+a2x+⋯+1+anx=n\sqrt{1+a_1x}+\sqrt{1+a_2x}+\cdots +\sqrt{1+a_nx}=n has at most one real nonzero root.
Back to ProblemsView on AoPS