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anastasuya2701
@anastasuya2701
August 2022
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Помогите решить уравнения! Заранее спасибо!
1) [tex] log_{2} (2x+9)=3[/tex]
2) lg(x-2)+lg (9-x)=1
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ТатМих
Verified answer
1.
2х+9=
=8
2x+9=8
2x=8-9
2x=-1
Ответ:
x=-
2.
lg(x-2)+lg (9-x)=1
lg(x-2)(9-x)=1
(x-2)(9-x)=10
9x-18-x²+2x=10
-x²+11x-18-10=0
-x²+11x-28=0
x²-11x+28=0
D=121-112=9
√9=3
x1=(11-3)/2=4
x2=(11+3)/2=7
Ответ
:х=4 и х=7.
2 votes
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Answers & Comments
Verified answer
1.2х+9==8
2x+9=8
2x=8-9
2x=-1
Ответ:x=-
2.
lg(x-2)+lg (9-x)=1
lg(x-2)(9-x)=1
(x-2)(9-x)=10
9x-18-x²+2x=10
-x²+11x-18-10=0
-x²+11x-28=0
x²-11x+28=0
D=121-112=9
√9=3
x1=(11-3)/2=4
x2=(11+3)/2=7
Ответ:х=4 и х=7.