х-корень уравнения [tex]7* 49^{x} +5* 14^{x} =2* 4^{x} [/tex] найдите х². Created by agasikkk. algebra-ru

tex] найдите х²...

agasikkk @agasikkk

July 2022 1 28 Report

х-корень уравнения

[tex]7* 49^{x} +5* 14^{x} =2* 4^{x} [/tex]

найдите х²

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IUV

Verified answer

7*49^x+5*14^x=2*4^x
7*((7/2)^x)^2+5*(7/2)^x -2=0
(7/2)^x=t>0
7*t^2+5*t -2=0
d=25+4*2*7=81
t1=(-5-9)/14=-1 - лишний корень
t2=(-5+9)/14=4/14=2/7
(7/2)^x=2/7=(7/2)^(-1)
x=(-1)
x^2 = 1

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