SOLUTION: Sum of a number and its reciprocal is 63/28.Find the numbers

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Question 984907: Sum of a number and its reciprocal is 63/28.Find the numbers
Found 2 solutions by Timnewman, MathTherapy:
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
Let the number be x
Then,
x+(1/x)=63/28
(x²+1)/x=63/28
28(x²+1)=63x
28x²-63x-28=0
solve out this quadratic equation to get the number,

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Sum of a number and its reciprocal is 63/28.Find the numbers
With N being the number, solve the quadratic equation: highlight_green%284N%5E2+-+9N+%2B+4+=+0%29, using the 

quadratic equation formula, or by completing the square, to get your answer, which should be 1.640388203 or 0.6096.