Problem 3 of RMO 2007 (Regional Mathematical Olympiad-India)
Source: Roots of a quadratic equation
September 13, 2009
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Problem Statement
Find all pairs of real numbers such that whenever is a root of x^{2} \plus{} ax \plus{} b \equal{} 0, \alpha^{2} \minus{} 2 is also a root of the equation.
[Weightage 17/100]