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

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Question 125037This question is from textbook Structure and Method Book 1
: The sum of a number and its reciprocal is 10/3. What is the number? This question is from textbook Structure and Method Book 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be "x".
EQUATION x + 1/x = 10/3
Multiply thru by 3x to get:
3x^2+3 = 10x
Rearrange:
3x^2-10x+3 = 0
3x^2-9x-x+3 = 0
3x(x-3)-(x-3)=0
(x-3)(3x-1) = 0
x = 3 or x = 1/3
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Cheers,
Stan H.