3

Part of 2007 India Regional Mathematical Olympiad

Problems(1)

Problem 3 of RMO 2007 (Regional Mathematical Olympiad-India)

Source: Roots of a quadratic equation

(a, b)

of real numbers such that whenever

\alpha

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]

searchalgebra unsolvedalgebra