SOLUTION: The difference between a number and its reciprocal is 3/2. Find the number.

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Question 1134882: The difference between a number and its reciprocal is 3/2. Find the number.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

x - 1%2Fx = 3%2F2.


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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between a number and its reciprocal is 3/2. Find the number.
Let the number be N

Then we get: matrix%281%2C3%2C+N+-+1%2FN%2C+%22=%22%2C+3%2F2%29

matrix%281%2C3%2C+2N%5E2+-+2%2C+%22=%22%2C+3N%29 -------- Multiplying by LCD, 2N

matrix%281%2C3%2C+2N%5E2+-+3N+-+2%2C+%22=%22%2C+0%29 ----- Subtracting 3N

(N - 2)(2N + 1) = 0

N - 2 = 0               OR      2N + 1 = 0

Number, or  



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