MHB Confused: Seeking Help on Problem Solution

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The discussion revolves around a user seeking validation for their problem-solving approach. They express uncertainty about whether they solved the problem correctly and request feedback on their reasoning. A response highlights a mistake in the user's bounding, specifically stating that $x^2(x^2 - 2)$ is less than or equal to $-x^2$. Another response confirms that the user's second assertion is correct. Overall, the conversation focuses on clarifying the user's understanding of their solution.
Albert Einstein1
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I am not entirely sure if I solved this problem correctly. Please let me know if my reasoning is flawed. Thank you and I appreciate your help greatly.
 

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Albert Einstein said:
I am not entirely sure if I solved this problem correctly. Please let me know if my reasoning is flawed. Thank you and I appreciate your help greatly.
 

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In the first, post your "bounding" is wrong. $x^2(x^2- 2)$ is less than or equal to $-x^2$.

For the second, yes, that is correct.
 

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