Think its a A . Dasgupta question --- anyhow a good one --- there are two methods actually -- lets see Prove that the eqn . a0 x5 + a1 x4 + a2 x3 + a3 x2 + a4 x + a5 = 0 cannot have all real roots if 2 a12 - 5 a2 < 0. ...
Para: Let a,b,c are complex numbers and the roots of the equation z3+az2+bz+c=0 are unimodular Q1. The value of |a|-|b| = (ans got =0) Q2. The number of distinct real roots of the equation z3+|a|z2+|b|z+|c|=0 is (a) 1 (b) 2 ( ...
