решите уравнение 49^x-6*7^x-5=0. Created by ViktoriaDajer. algebra-ru

решите уравнение 49^x-6*7^x-5=0...

ViktoriaDajer @ViktoriaDajer

August 2022 1 13 Report

решите уравнение 49^x-6*7^x-5=0

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mmb1

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49^x-6*7^x-5=0
7^x=t t>0
t²-6t-5=0
D=36+20=56
t12=(6+-√56)/2
t1=(6-√56)/2 <0 Нет
t2=(6+√56)/2 = (6+2√14)/2=3+√14
7^x=3+√14
x= log₇(3+√14)
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