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Omni-MATH / Determine the number of quadratic polynomials P(x)=p₁x²+p₂x−p₃, where p₁,p₂,p₃ are not necessarily distinct (positive) prime numbers less than 50, whose roots are distinct rational…

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problem

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.
Plain-text mathematical notation (without MathML)
Determine the number of quadratic polynomials P(x)=p₁x²+p₂x−p₃, where p₁,p₂,p₃ are not necessarily distinct (positive) prime numbers less than 50, whose roots are distinct rational numbers.
Original LaTeX notation
Determine the number of quadratic polynomials $P(x)=p_{1} x^{2}+p_{2} x-p_{3}$, where $p_{1}, p_{2}, p_{3}$ are not necessarily distinct (positive) prime numbers less than 50, whose roots are distinct rational numbers.

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Source and history

task_id
8a0c284c-7231-5101-b1f4-a350a5c380ac
task_key
test--8a0c284c-7231-5101-b1f4-a350a5c380ac
task_revision_id
1
config / split
/ test

Official source

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