find all real numbers
Source: Ireland 1999
July 4, 2009
inequalities proposedinequalities
Problem Statement
Find all real numbers which satisfy: \frac{x^2}{(x\plus{}1\minus{}\sqrt{x\plus{}1})^2}<\frac{x^2\plus{}3x\plus{}18}{(x\plus{}1)^2}.
Source: Ireland 1999