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Explanation
The sum of a positive number and its reciprocal is thrice.
The difference of the number and its reciprocal.
The number will be figure out in this way.
Let suppose the positive number is y.
The difference of a number and its reciprocal
y – 1/y
The sum of a positive number and its reciprocal
y + 1/y = 3(y – 1/y) ________ (i)
Through equation (i) we can easily find out the value of y (y = 2 square root).
To Find
Number = ?
Solution
Let suppose
Number = y
According to the given condition
y + 1/y = 3(y – 1/y)
y + 1/y = 3y – 3/y
1/y + 3/y = 3y – y
1 + 3 = y(3y – y)
4 = 3y2 – y2
2y2 = 4
y2 = 2
y = 2 square root
Required Number = 2 square root answer
Conclusion
The sum of a positive number and its reciprocal is thrice the difference of the number and its reciprocal. The number is 2 square root.
