Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form
where r varies from 0 to n – 1 and each root is unimodular as
The smallest integer for which is
are the cube roots of p, p < 0, then for any x, y and z,
Find all the values of the given root:
are the n, nth roots of unity,
If ω is fifth root of unity, then
, then find the equation whose roots are p and q.
Find the roots of the equation , whose real part is negative.