The quadratic equation `p(x)=0` with real coefficients has purely imaginary roots. Then the equation `p(p(x))=0` has only purely imaginary roots at real roots two real and purely imaginary roots neither real nor purely 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

The quadratic equation ax^(2)+bx+c=0 has real roots if:

Consider a quadratic equation az^2 + bz + c =0 where a, b, c, are complex numbers. Find the condition that the equation has (i) one purely imaginary root (ii) one purely real root (iii) two purely imaginary roots (iv) two purely real roots

If the quadratic equation alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0 has imaginary roots then

Find the real number x if (x−2i)(1+i) is purely imaginary.

The equation x(x+2)(x ^2 −x)=−1 , has all roots imaginary ,neagative,two real two imaginary or all roots real.

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

If f(x)=x has non real roots, then the equation f(f(x))=x (A) has all real and unequal roots (B) has some real and non real roots (C) has all real and equal roots (D) has all non real roots

The equation ax^(2)+6x-9=0 will have imaginary roots if

If b_1. b_2=2(c_1+c_2) then at least one of the equation x^2+b_1x+c_1=0 and x^2+b_2x+c_2=0 has a) imaginary roots b) real roots c) purely imaginary roots d) none of these