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**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

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,508

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

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**Alg Num Theory****Member**- Registered: 2017-11-24
- Posts: 691
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Me, or the ugly man, whatever (3,3,6)

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