SOLUTION: The sum of a number and 6 times its reciprocal is 5. Find the number(s). Thanks

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Question 428153: The sum of a number and 6 times its reciprocal is 5. Find the number(s).


Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I already did this one today. But here it is again in case you missed it.

Let represent the number. Then is the reciprocal of the number, and is 6 times the reciprocal. The sum is 5, so:



Multiply by



Put the quadratic into standard form:



Solve the quadratic for . Hint: it factors.

John

My calculator said it, I believe it, that settles it
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