solve real equation
Source: Argentina IMO TST 2007 problem 4
August 27, 2009
algebra unsolvedalgebra
Problem Statement
Find all real values of which satisfy:
\frac{x^2}{x\minus{}1} \plus{} \sqrt{x\minus{}1} \plus{}\frac{\sqrt{x\minus{}1}}{x^2} \equal{} \frac{x\minus{}1}{x^2} \plus{} \frac{1}{\sqrt{x\minus{}1}} \plus{} \frac{x^2}{\sqrt{x\minus{}1}}