SOLUTION: The sum of a number and 2 times its reciprocal is 3. Find the number(s).

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Question 625618: The sum of a number and 2 times its reciprocal is 3. Find the number(s).
Answer by reynard2007(52) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the number and 1/x is its reciprocal. 
x%2B2%281%2Fx%29=3
Multiply x to both sides to get rid of x in the denominator.
x%5E2%2B2=3x
Then transpose 3x to the left side, and you will get a quadratic equation.
x%5E2-3x%2B2=0
Factor that.
%28x-1%29%28x-2%29=0
If any of the factors is equal to zero, then the equation becomes true. The answer then is 1 or 2.