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teenart9
@teenart9
August 2022
1
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решите неравенство
90,5^(x^2-3)<27
и
(1/4)^x-3(1/2)^x+2>0
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sedinalana
Verified answer
В 1 явно ошибка
-------------------------------
(1/2)^2x-3*(1/2)^x+2>0(1/2)^x=a
a²-3a+2>0
a1+a2=3 U a1*a2=2⇒a1=1 U a2=2
a<1⇒(1/2)^x<1⇒x>0
a>2⇒(1/2)^x>2⇒x<-1
x∈(-∞;-1) U (0;∞)
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Verified answer
В 1 явно ошибка-------------------------------
(1/2)^2x-3*(1/2)^x+2>0(1/2)^x=a
a²-3a+2>0
a1+a2=3 U a1*a2=2⇒a1=1 U a2=2
a<1⇒(1/2)^x<1⇒x>0
a>2⇒(1/2)^x>2⇒x<-1
x∈(-∞;-1) U (0;∞)