Решить показательное уравнение: 2^(2x+2)-6^(x)-2*3^(2x+2)=0. Created by nasty00swasty. algebra-ru

Решить показательное уравнение: 2^(2x+2)-6^(x)-2*3^(2x+2)=0...

July 2022 1 8 Report

Решить показательное уравнение: 2^(2x+2)-6^(x)-2*3^(2x+2)=0

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skvrttt $\mathtt{2^{2x+2}-6^x-2*3^{2x+2}=0;~4^x*4-6^x-2*9^x*9=0;}\\\mathtt{\frac{4^x}{9^x}*4-\frac{6^x}{9^x}-18=0;~(\frac{4}{9})^x*4-(\frac{6}{9})^x-18=0;~4a^2-a-18=0;}\\\mathtt{D=1-4*4*(-18)=289;~a_1=\frac{1+17}{8}=\frac{9}{4};~a_2=\frac{1-17}{8}=-2~\notin~ODZ;}\\\mathtt{(\frac{2}{3})^x=\frac{9}{4}=(\frac{3}{2})^2~\to~x=-2}$

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Answers & Comments

ot shara radiusom 13 sm otrezali sharovoj segment radius okruzhnosti secheniya 12 sm

tryohznachnoe chislo chitaetsya odinakovo s nachala i s konca izvestno chto ono kratn

sredi uchashihsya 10 h klassov obyavlen fotokonkurs v paralleli 120 uchashihsya chetv266469fe3ce0cd7dfb3f44adde984313 67135

sredi uchashihsya 10 h klassov obyavlen fotokonkurs v paralleli 120 uchashihsya chetv

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