- #1

Faiq

- 348

- 16

## Homework Statement

If a,b,c,d,e>1

then prove that

a^2/(c-1)+b^2/(d-1)+c^2/(e-1)+d^2/(a-1)+e^2/(b-1)=>20

## The Attempt at a Solution

Given a,b,c,d,e are roots of a polynomial equation of a degree 5 then

x^2/(x-1)+x^2/(x-1)+x^2/(x-1)+x^2/(x-1)+x^2/(x-1)=>20

5 x^2/(x-1)=>20

x^2/(x-1)=>4

x^2=>4x-4

x=> 2

This proves that a,b,c,d,e >1

I am sure this method is wrong because I prove Q implies P rather than proving P implies Q. However I cannot work out any other method.