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2000 AMC 10 Problem 15

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2000 AMC 10 Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 3 of 5 · about 4 min · position P11-15

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 ?

  1. A)

    −2- 2

  2. B)

    −12\frac { -1 }{2}

  3. C)

    13\frac {1}{3}

  4. D)

    12\frac {1}{2}

  5. E)

    22

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