i didn't understand this from the marked part | Mathematics | Page 1

cyan zealot Apr 18, 2024, 6:18 PM

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i didn't understand this from the marked part. How did they managed the manipulation... Isn't that geometric mean itself or something else

If P, Q, R are positive real numbers such that
$P + Q + R = g$
, find the maximum value of
$(P^2)(Q^3)(R^4)$

chilly flareBOT Apr 18, 2024, 6:18 PM

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deft jacinthBOT Apr 18, 2024, 6:18 PM

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autocrazizt

cyan zealot Apr 18, 2024, 6:24 PM

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where did all the exponents came from <@&286206848099549185>

cyan zealot Apr 18, 2024, 6:48 PM

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<@&286206848099549185>

uneven schooner Apr 18, 2024, 6:53 PM

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do you know the am gm inequality ?

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i think they separated each variable and applied am gm then recombined the results

cyan zealot Apr 18, 2024, 7:00 PM

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i know about the inequality but the exponents dosen't feel right, i don't understand how they got here or isthis some kind of typo.
Gm is the product of n terms to their $1/n$th power, right? @uneven schooner

#i didn't understand this from the marked part