MathDB
2001 Stanford Math Tournament Team #5

Source:

May 24, 2014
Stanfordcollegequadraticsalgebrapolynomialcomplex numbers

Problem Statement

What quadratic polynomial whose coefficient of x2x^2 is 11 has roots which are the complex conjugates of the solutions of x26x+11=2xi10ix^2 -6x+ 11 = 2xi-10i? (Note that the complex conjugate of a+bia+bi is abia-bi, where a and b are real numbers.)