Complex numbers and quadratic equations

Complex number part 2

Find the number of quadratic equations, which are unchanged by squaring their roots.

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is

Write the number of quadratic equation with real roots, which do not change by squaring their roots.

Write the number of quadratic equation with real roots, which do not change by squaring their roots.

Complex number z satisfy the equation |z-(4/z)|=2 The difference between the least and the greatest moduli of complex number is (a) 2 (b) 4 (c) 1 (d) 3

If alpha and beta are the roots of a quadratic equation such that alpha+beta=2, alpha^4+beta^4=272 , then the quadratic equation is

A quadratic equation is chosen from the set of all quadratic equations which are unchanged by squaring the roots. The chance that the chosen equation has equal root, is