MathDB
Transforming Polynomial

Source:

June 13, 2009
algebrapolynomialVieta

Problem Statement

The roots of Ax^2 \plus{} Bx \plus{} C \equal{} 0 are r r and s s. For the roots of x^2 \plus{} px \plus{} q \equal{} 0 to be r2 r^2 and s2 s^2, p p must equal: (A)\ \frac{B^2 \minus{} 4AC}{A^2}\qquad (B)\ \frac{B^2 \minus{} 2AC}{A^2}\qquad (C)\ \frac{2AC \minus{} B^2}{A^2}\qquad \\ (D)\ B^2 \minus{} 2C\qquad (E)\ 2C \minus{} B^2