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
Solution 1
Sure, here is a step-by-step proof:
Step 1: Let's assume that x is a nonzero real number such that both x^5 and 20x + 19/x are rational numbers.
Step 2: We know that the sum, difference, product, and quotient of rational numbers are always rational. Therefore, if x^5 is rational and 20x + 19/x is 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.
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