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angelina0509
@angelina0509
July 2022
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30 БАЛЛОВ!!! ПОМОГИТЕ С РЕШЕНИЕМ!!!
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sedinalana
Verified answer
1
4^(x-1)*(1+4+16)=84
21*4^(x-1)=84
4^(x-1)=84:21
4^(x-1)=4
x-1=1
x=2
2
(2x-3)/5=0
2x-3=0
2x=3
x=1,5
3
4*4^x+19*2^x-5=0
2^x=a
4a²+19a-5=0
D=361+80=441
a1=(-19-21)/8=-5⇒2^x=-5 нет решения
a2=(-19+21)/8=1/4⇒2^x=1/4⇒x=-2
4
3^x+3/3^x-28/3=0
3*3^2x-28*3^x+9=0
3^x=a
3a²-28a+9=0
D=784-108=676
a1=(28-26)/6=1/3⇒36x=1/3⇒x=-1
a2=(16+28)/6=9⇒3^x=9⇒x=2
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Answers & Comments
Verified answer
14^(x-1)*(1+4+16)=84
21*4^(x-1)=84
4^(x-1)=84:21
4^(x-1)=4
x-1=1
x=2
2
(2x-3)/5=0
2x-3=0
2x=3
x=1,5
3
4*4^x+19*2^x-5=0
2^x=a
4a²+19a-5=0
D=361+80=441
a1=(-19-21)/8=-5⇒2^x=-5 нет решения
a2=(-19+21)/8=1/4⇒2^x=1/4⇒x=-2
4
3^x+3/3^x-28/3=0
3*3^2x-28*3^x+9=0
3^x=a
3a²-28a+9=0
D=784-108=676
a1=(28-26)/6=1/3⇒36x=1/3⇒x=-1
a2=(16+28)/6=9⇒3^x=9⇒x=2