SOLUTION: The sum of a natural number and it's reciprocal is 65/8.Find the numbers

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Question 1082825: The sum of a natural number and it's reciprocal is 65/8.Find the numbers
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n%2B1%2Fn=65%2F8

8n%28n%2B1%2Fn%29=8n%2865%2F8%29

8n%5E2%2B8=8%2A65%2An%2F8

8n%5E2%2B8=65n

8n%5E2-65n%2B8=0 -----------solve this and pick the POSITIVE WHOLE NUMBER root.

n=%2865%2B-+sqrt%2865%5E2-4%2A8%2A8%29%29%2F%282%2A8%29

n=%2865%2B63%29%2F16

highlight%28n=8%29

Answer by Edwin McCravy(20054) About Me  (Show Source):