SOLUTION: The sum of a rational number (fraction) and its reciprocal is equal to some positive integer plus 69/110. What is the integer? choose the answer and explain the reason to choose yo

Question 479892: The sum of a rational number (fraction) and its reciprocal is equal to some positive integer plus 69/110. What is the integer? choose the answer and explain the reason to choose your response
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Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
No one seems to want this problem and I am not too happy with this effort but here it is:
:
Let x = the rational number
Let y = "some positive integer"
:
The sum of a rational number (fraction) and its reciprocal is equal to some positive integer plus 69/110.
x + = y +
Only y = 4, seems to work out for me here
x + = 4 +
x + = +
x + =
Find x
x + - = 0
Multiply by 110x
110x^2 - 509x + 110 = 0
Using the quadratic formula: a=110, b=-509, c=110
One solution that works x = 4.4 which is so we have:
+ = 4 +
Checking it
+ +
=

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