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Diamond68
@Diamond68
July 2022
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помогите пожалуйста срочно !!!
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kukoberro
5*2^2x+3*2^x*5^x-2*5^2x=0
5*(2/5)^2x+3*(2/5)^x-2=0
Замена
(2/5)^x=a
5a²+3a-2=0
D=9+40=49
a1=(-3-7)/10=-1⇒(2/5)^x=-1-не подходит
a2=(-3+7)/10=2/5
(2/5)^x=2/5
x=1
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Answers & Comments
5*(2/5)^2x+3*(2/5)^x-2=0
Замена
(2/5)^x=a
5a²+3a-2=0
D=9+40=49
a1=(-3-7)/10=-1⇒(2/5)^x=-1-не подходит
a2=(-3+7)/10=2/5
(2/5)^x=2/5
x=1