Roots of Equation
Source:
February 7, 2009
Vieta
Problem Statement
The two roots of the equation a(b\minus{}c)x^2\plus{}b(c\minus{}a)x\plus{}c(a\minus{}b)\equal{}0 are and:
(A)\ \frac{b(c\minus{}a)}{a(b\minus{}c)} \qquad
(B)\ \frac{a(b\minus{}c)}{c(a\minus{}b)} \qquad
(C)\ \frac{a(b\minus{}c)}{b(c\minus{}a)} \qquad
(D)\ \frac{c(a\minus{}b)}{a(b\minus{}c)} \qquad
(E)\ \frac{c(a\minus{}b)}{b(c\minus{}a)}