Testing your algebra
Source:
June 9, 2006
Problem Statement
Two non-zero real numbers, and satisfy ab \equal{} a \minus{} b. Which of the following is a possible value of \frac {a}{b} \plus{} \frac {b}{a} \minus{} ab?
(A)\minus{}\!2 \qquad (B)\minus{}\!\frac {1}{2} \qquad (C)\ \frac {1}{3} \qquad (D)\ \frac {1}{2} \qquad (E)\ 2