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## Homework Statement

To find number of real solutions of:

##\frac{1}{x-1}## ##+\frac{1}{x-2}## + ##\frac{1}{x-3}## + ##\frac{1}{x-4}## =2[/B]

## Homework Equations

It will form a 4th degree polynomial equation.

## The Attempt at a Solution

The real solutions could be 0 or 2 or 4 as complex solutions always exist in pairs.

It is a 4th degree polynomial equation , the real roots could be 4 but how?[/B]