Question

The quadratic equation p(x) = 0 with real coefficients has purely imaginary roots. Then the equation p(p(x)) = 0 has 

(A) only purely imaginary roots 

(B) all real roots 

(C) two real and two purely imaginary roots 

(D) neither real nor purely imaginary roots

Answer 1

(D) neither real nor purely imaginary roots

Hence real or purely imaginary number can not satisfy P(P(x)) = 0.