Given `z` is a complex number with modulus 1. Then the equation `[(1+i a)/(1-i a)]^4=z` has all roots real and distinct two real and two imaginary three roots two imaginary one root real and three imaginary

The real and imaginary parts of log(1+i)=

Equation (x)2)(x+3)(x+8)(x+12)=4x^(2) has four real and distinct roots two irrational roots two integer roots two imaginary roots

Find real and imaginary parts of (1-i)/(1+i) .

Equation 12x^(4)-56x^(3)+89x^(2)-56x+12=0 has four real and distinct roots two irrational roots one integer root two imaginary roots

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 purely imaginary roots D.neither real nor purely imaginary roots

Prove that the equation Z^(3)+iZ-1=0 has no real roots.

The number of real roots of the equation z^(3)+iz-1=0 is

The equation (6-x)^4+(8-x)^4=16 has (A) sum of roots 28 (B) product of roots 2688 (C) two real roots (D) two imaginary roots

If one root of a quadratic equation is real and the other is imaginary,then the coefficients of the equation are

If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has (i) imaginary roots (ii) real and equal roots (ii) real and unequal roots (iv) rational roots