MathDB

2

Part of 2019 NMTC Junior

Problems(1)

There exists an integer

Source: NMTC 2019 Junior P2

11/2/2019
Given positive real numbers a,b,c,da, b, c, d such that cd=1cd=1. Prove that there exists at least one positive integer mm such that ab≤m2≤(a+c)(b+d).ab\le m^2\le (a+c) (b+d).
number theory