SOLUTION: the sum of a number and its reciprocal is 10/3. What is the number?

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Question 166124: the sum of a number and its reciprocal is 10/3. What is the number?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+1/x=10/3
(x^2+1)/x=10/3
3(x^2+1)=10x
3x^2+3-10x=0
3x^2-10x+3=0
(3x-1)(x-3)=0
3x-1=0
3x=1
x=1/3 answer.
x-3=0
x=3 answer.