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Omni-MATH / Baron Munchausen presented a new theorem: if a polynomial x^(n)−ax^(n−1)+bx^(n−2)+… has n positive integer roots then there exist a lines in the plane such that they have exactly b…

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problem

Baron Munchausen presented a new theorem: if a polynomial xn−axn−1+bxn−2+…x^{n} - ax^{n-1} + bx^{n-2}+ \dots has nn positive integer roots then there exist aa lines in the plane such that they have exactly bb intersection points. Is the baron’s theorem true?
Plain-text mathematical notation (without MathML)
Baron Munchausen presented a new theorem: if a polynomial x^(n)−ax^(n−1)+bx^(n−2)+… has n positive integer roots then there exist a lines in the plane such that they have exactly b intersection points. Is the baron’s theorem true?
Original LaTeX notation
Baron Munchausen presented a new theorem: if a polynomial $x^{n} - ax^{n-1} + bx^{n-2}+ \dots$ has $n$ positive integer roots then there exist $a$ lines in the plane such that they have exactly $b$ intersection points. Is the baron’s theorem true?

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Source and history

task_id
1793a57c-869a-53b5-9482-648bed679de7
task_key
test--1793a57c-869a-53b5-9482-648bed679de7
task_revision_id
1
config / split
/ test

Official source

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