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69lolka69
@69lolka69
October 2021
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Решите уравнения. Спасибо заранее. <3
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Ртуть3
Verified answer
1) 3^(x+2)=9^(2x-3)
3^(x+2)=3^(4x-6)
x+2=4x-6
4x-x=6+2
3x=8
x=8/3
2)2^(x+1/x)=4√2
2^(x+1/x)=2^(5/2)
x+1/x=5/2
2x^2+2-5x=0
2x^2-5x+2=0
x1=1/2
x2=2
2 votes
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Answers & Comments
Verified answer
1) 3^(x+2)=9^(2x-3)3^(x+2)=3^(4x-6)
x+2=4x-6
4x-x=6+2
3x=8
x=8/3
2)2^(x+1/x)=4√2
2^(x+1/x)=2^(5/2)
x+1/x=5/2
2x^2+2-5x=0
2x^2-5x+2=0
x1=1/2
x2=2