MathDB

The 41th All-Russian Q 9.3

Source: Baidu Post Bar

May 22, 2015

inequalitiesnumber theoryalgebra

Problem Statement

Let

a,x,y

be positive integer such that

a>100,x>100,y>100

and

y^2-1=a^2(x^2-1)

. Find the minimum value of

\frac{a}{x}