SOLUTION: The sum of a number and its reciprocal is 34/15 Find the numbers Smaller number: Larger number

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Question 1166683: The sum of a number and its reciprocal is
34/15
Find the numbers
Smaller number:
Larger number

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
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x%2B1%2Fx+=+34%2F15
x%5E2%2B1+=+34x%2F15
15x%5E2-34x%2B15+=+0
%285x-3%29%283x-5%29+=+0

The number and its reciprocal are 3/5 and 5/3.