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Omni-MATH / A root of unity is a complex number that is a solution to z^(n)=1 for some positive integer n. Determine the number of roots of unity that are also roots of z²+az+b=0 for some inte…

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problem

A root of unity is a complex number that is a solution to zn=1z^{n}=1 for some positive integer nn. Determine the number of roots of unity that are also roots of z2+az+b=0z^{2}+a z+b=0 for some integers aa and bb.
Plain-text mathematical notation (without MathML)
A root of unity is a complex number that is a solution to z^(n)=1 for some positive integer n. Determine the number of roots of unity that are also roots of z²+az+b=0 for some integers a and b.
Original LaTeX notation
A root of unity is a complex number that is a solution to $z^{n}=1$ for some positive integer $n$. Determine the number of roots of unity that are also roots of $z^{2}+a z+b=0$ for some integers $a$ and $b$.

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Source and history

task_id
27c87e25-fffe-5c8f-8b34-e622979f5583
task_key
test--27c87e25-fffe-5c8f-8b34-e622979f5583
task_revision_id
1
config / split
/ test

Official source

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