SOLUTION: The sum of a number and its reciprocal is 5 times the number. Find the positive solution.
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Question 997035: The sum of a number and its reciprocal is 5 times the number. Find the positive solution.
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of a number and its reciprocal is 5 times the number.
Find the positive solution.
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Equation:
x + 1/x = 5x
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4x = 1/x
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4x^2-1 = 0
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(2x-1)(2x+1) = 0
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x = 1/2 or x = -1/2
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Cheers,
Stan H.
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Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of a number and its reciprocal is 5 times the number.
n + = 5n
= 5n - n
= 4n
multiply both sides by n
1 = 4n^2
divide both sides by 4
= n^2
n =
n =
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