SOLUTION: The difference between a number and twice its reciprocal is 1. Find the number. (Hint: form a quadratic equation and solve)

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Question 587949: The difference between a number and twice its reciprocal is 1. Find the number. (Hint: form a quadratic equation and solve)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x-2%281%2Fx%29=1
Multiplying both sides by x, we get
x%5E2-2=x --> x%5E2-x-2=0
We can solve by factoring
x%5E2-x-2=0 --> %28x-2%29%28x%2B1%29=0 --> x=2 or x=-1
VERIFICATION:
2-2%281%2F2%29=2-1=1
%28-1%29-2%281%2F%28-1%29%29=-1-2%28-1%29=-1%2B2=1