1. Suppose x is a nonzero real number such that both x 5 and 20x + 19 x are rational numbers. Prove that x is a rational number.

Question

1. Suppose x is a nonzero real number such that both x 5 and 20x + 19 x are rational numbers. Prove that x is a rational number.
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Solution 1

Sure, let's break this down:

  1. We are given that x is a nonzero real number and that both x/5 and (20x + 19)/x are rational numbers.

  2. A rational number is a number that can be expressed as the quotient of two integers. So, we can say that x/5 = a/b and (20x + 19)/x = c/d, where a, b, c, and d 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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