A root of unity is a complex number that is a solution to the equation \( z^{n}=1 \) for some po...

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A root of unity is a complex number that is a solution to the equation \( z^{n}=1 \) for some positive integer \( n \). Find the Number of roots of unity that are also the roots of the equation \( \mathrm{z}^{2}+ \) \( \mathrm{az}+\mathrm{b}=0 \), for some integer \( \mathrm{a} \) and \( \mathrm{b} \) ?
(a) 8
(b) 2
(c) 4
(d) 0
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