Please help!!! The sum of 2 times a number and 3 times it's reciprocal is 11/2. Find the numbers??

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Please help!!! The sum of 2 times a number and 3 times it's reciprocal is 11/2. Find the numbers??

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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2x+3x^-1=11/2
solve for x
ok one sec.

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Other answers:

i got 3/4 and 2?
Would that be my two numbers then?
Well that is what i got when i solved for x there was 3/4 and 2
I'm still getting 3/4 and 2
Maybe I should do it. Hold on. You could be correct
ok
You are right. You will get a polynomial
Good Job
thanks for your help

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