SOLUTION: What is the sum of a number and ten times its reciprocal and equals seven? What is this number?

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Question 150149: What is the sum of a number and ten times its reciprocal and equals seven? What is this number?
Answer by Alan3354(69443) About Me  (Show Source):
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What is the sum of a number and ten times its reciprocal and equals seven? What is this number?
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I think you mean n + 10/n = 7
n^2 + 10 = 7n
n^2 - 7n + 10 = 0
(n-5)*(n-2) = 0
n = 2, n = 5
If you check, both work.