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2000 AMC 10Problem 15P11-15~4 minPrint
Algebraic ManipulationApply an identity: SFFT, sum of squares, difference of cubes, VietaTest small/specific values or special cases to find or verify the answer

Two non-zero real numbers, aa and b,b, satisfy ab=a−bab = a - b . Which of the following is a possible value of ab+ba−ab\frac {a}{b} + \frac {b}{a} - ab ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2000 12 #11.