SOLUTION: If two times a number is added to twice the reciprocal of a number, the answer is 5. Find the number(s).

SOLUTION: If two times a number is added to twice the reciprocal of a number, the answer is 5. Find the number(s).

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Question 1029667: If two times a number is added to twice the reciprocal of a number, the answer is 5. Find the number(s).
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the number, x. Then we write
2x + 2/x = 5
Multiply by x and solve...we get
2x^2 + 2 = 5x
2x^2 - 5x + 2 = 0
(2x - 1)(x - 2) = 0
so that
x = 1/2 and x = 2
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