Question

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

Answer 1

Answer:

Step-by-step explanation:

Let the number = x

Then its reciprocal = 1/x

According to the question-

$x + 1/x = 10/3\\x^{2} + 1 = 10x/3\\3x^{2} + 3 = 10x\\3x^{2} - 10x + 3 = 0\\3x^{2} - 9x - x + 3 = 0\\3x (x-3) - 1 (x-3) = 0 (x-3) (3x-1) = 0\\x = 3 or 1/3$

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