The sum of a rational number and its reciprocal is 13/6. Find the number.

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• A 2/3 or 3/2
• B 4/3 or 3/4
• C 1/4 or 4
• D 2 or 1/2

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Answer: A. 2/3 or 3/2

x + 1/x = 13/6, so (x² + 1)/x = 13/6 and 6x² - 13x + 6 = 0.
(3x - 2)(2x - 3) = 0, so x = 2/3 or 3/2.

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