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The sum of a number greater than 1 and its reciprocal is 10/3. Find the number.

Competition practiceAlgebra

A3
B1/3
C10/3
D3/10

Step-by-Step Solution

n + 1/ n = 10/3

gives

3 n^{2} - 10 n + 3 = 0

, i.e.

(3 n - 1) (n - 3) = 0

. Since

n > 1, n = 3

.

Answer: A) 3

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