You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**mrpace****Member**- Registered: 2012-08-16
- Posts: 79

Find all pairs of real numbers (a,b) such that a/b + b/a >= 2

Any help appreciated

Thanks

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,462

hi mrpace

Depends on the sign of a and b.

if

If a and b have same sign (both positive or both negative)

This will be true for all a and b ∈ {reals}

If a and b have opposite signs the inequality switches:

I'll leave you to finish this off.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob Bundy

Offline

**Alg Num Theory****Member**- Registered: 2017-11-24
- Posts: 342
- Website

Offline

Pages: **1**