The difference between a positive fraction and its reciprocal is 9 20 9 20 . Find the sum of that fraction and its reciprocal. Options : 41/20 17/20 none 9/20

Question

The difference between a positive fraction and its reciprocal is 9 20 9 20 . Find the sum of that fraction and its reciprocal. Options : 41/20 17/20 none 9/20
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Solution 1

Let's denote the fraction as x. Its reciprocal would then be 1/x.

According to the problem, the difference between the fraction and its reciprocal is 9/20. This can be written as:

x - 1/x = 9/20

To solve this equation, we can multiply every term by 20x to get rid of the fraction:

20x^2 - 20 = 9x Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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