Solving for the Maximum Value of an Expression | Olympiad Prep
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- Опубліковано 26 чер 2024
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This tutorial of algebraic challenges explains the quest to find the maximum value of an expression. Whether you're gearing up for Olympiad competitions or simply love unraveling mathematical mysteries, this video is your ultimate guide. Join us as we decode intricate algebraic puzzles, unveiling strategies and techniques essential for mastering maximum value problems. Let's sharpen our mathematical prowess together and soar to new heights of problem-solving excellence!
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Timestamps:
0:00 Introduction
1:30 Algebraic identities
3:30 Pascal triangle
6:55 AM-GM inequality
7:50 Maximum value of expression
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@infyGyan
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Nice introduction...x=-2 .thanks 🙏Sir for sharing ........
Thanks for watching 🙏
34/3
After simplifications, the function f(x) = 6 -4(x^2+1/x^2) = 14-4(x+1/x)^2. Now, x+1/x is greater than or equal to 2. Thus, the maximum value of the given expression is 14 - 4(2^2) = -2.
The maximum value of the expression is -2, for x=+or-1