Let a and b be positive integers and c be a positive real number satisfying a+1b+c=ba.Prove that c≥1 holds. (Karl Czakler)
Problem
Source: 2021 Austrian Regional Competition For Advanced Students p1
Tags: inequalities, algebra
Source: 2021 Austrian Regional Competition For Advanced Students p1
Tags: inequalities, algebra
Let a and b be positive integers and c be a positive real number satisfying a+1b+c=ba.Prove that c≥1 holds. (Karl Czakler)