Find points of inflection and state only the x values

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Homework Statement
Given ##3x^5-5x^3##, find points of inflection and state only the x values.
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Screen Shot 2020-05-28 at 11.53.04 AM.png

Since the answer wants x values only, will my answer be ##x=-\frac{1}{\sqrt{2}}, 0, and \frac{1}{\sqrt{2}}##?
 
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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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