Срочно, заранее спасибо.[tex]4^ \frac{2}{x}-5*4^ \frac{1}{x}=24 [/tex]. Created by Cold7Chill. algebra-ru

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July 2022 1 6 Report

Срочно, заранее спасибо.[tex]4^ \frac{2}{x}-5*4^ \frac{1}{x}=24 [/tex]

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Nananey2000 $4^ \frac{2}{x}-5*4^ \frac{1}{x}=24 \\ \\ 
4^ \frac{1}{x}=t \\ \\ 
t^2-5t-24=0 \\ 
D=25+4*24=121 \\ 
t_{1,2}= \frac{5б11}{2} =8;-3 \\ \\ 4^ \frac{1}{x}=8 \\ \\2^ \frac{2}{x}=2^3 \\ \\ \frac{2}{x}=3 \\ \\ x= \frac{2}{3}$

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