if a number id added to three times its reciprocal, the result is 5 3/5. find the number.

Let the number = xNow, its reciprocal = 1xNow, according to question :     x + 3x = 535x2 + 3x = 2855x2 - 28x + 15 = 05x2 - 25x - 3x + 15 = 05xx - 5 - 3x - 5 = 05x - 3x - 5 = 05x - 3 = 0   or  x - 5 = 0x = 35   or  x = 5So, required number is 35 or 5.

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