olymmath

HMMT November 2011 T4

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Determine the number of quadratic polynomials P(x)=p1x2+p2x−p3P(x)=p_{1} x^{2}+p_{2} x-p_{3}, where p1,p2,p3p_{1}, p_{2}, p_{3} are not necessarily distinct (positive) prime numbers less than 50 , whose roots are distinct rational numbers.

Dataset text NuminaMath olympiads. Quoted with source.

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