Помогите решить уравнение!!!. Created by 87449457. algebra-ru

Помогите решить уравнение!!!...

87449457 @87449457

December 2021 1 20 Report

Помогите решить уравнение!!!

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NNNLLL54

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$2\cdot (\frac{2}{3} )^{x-1} -4\cdot (\frac{3}{2})^{x}+1=0\\\\2\cdot (\frac{2}{3})^{x}\cdot (\frac{2}{3})^{-1}-4\cdot (\frac{2}{3})^{-x}+1=0\\\\t= (\frac{2}{3} )^{x} \ \textgreater \ 0\; ,\; \; \; \; 3\cdot t-4\cdot \frac{1}{t} +1=0\\\\ \frac{3t^2+t-4}{t}=0 \; ,\; \; t\ne 0\\\\3t^2+t-4=0\; ,\; \; D=49\; ,\\\\t_1=1\; ,\; t_2=-\frac{4}{3}\ \textless \ 0\; ne\; \; podxodit\\\\(\frac{2}{3})^{x}=1\; \; \; \to \; \; \; ( \frac{2}{3})^{x}=(\frac{2}{3} )^{0}\\\\x=0$

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87449457 July 2022 | 0 Ответы

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