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Fastera
@Fastera
July 2022
2
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Показательные уравнения.
Помогите написать замену пожалуйста)
(1/4)^x + (1/2)^x + 6=0
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Матов
Verified answer
1 votes
Thanks 0
Fastera
Спасибо =)
eVa74
(1/4)^x=(1/2)^2x=((1/2)^x)^2
(1/2)^x=t
t^2+t-6=0
t1=-3
t2=2
(1/2)^x=2
(1/2)^x=(1/2)^-1
x=-1
2 votes
Thanks 0
Fastera
с заменой
Fastera
в уравнении
eVa74
2^x=t
eVa74
t^3+8t-6t^2=0
Fastera
тогда получится a^3+8a-6a2=0
Fastera
lf?cgfcb,j
Fastera
да,спасибо
Fastera
это теперь разложить надо?
Fastera
или7
Fastera
как?
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Answers & Comments
Verified answer
(1/2)^x=t
t^2+t-6=0
t1=-3
t2=2
(1/2)^x=2
(1/2)^x=(1/2)^-1
x=-1