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grasinova
@grasinova
July 2022
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Помогите пожалуйста срочно мне)
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гюйс
Verified answer
3^(2х-6)=9^(2√х)
3^(2x-6)=3^2*3^(2√x)
2x-6=2*2√x
2x-6=4√x
(2x-6)²=(4√x)²
4х²-24х+36=16х
4х²-24х-16х+36=0
4х²-40х+36=0
х²-10х+9=0
D/4=25-9=16=+-4²
х1=5+4=9
х2=5-4=1 - не подходит, т.к. 3^(2-6)≠3^(4√1)
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Answers & Comments
Verified answer
3^(2х-6)=9^(2√х)3^(2x-6)=3^2*3^(2√x)
2x-6=2*2√x
2x-6=4√x
(2x-6)²=(4√x)²
4х²-24х+36=16х
4х²-24х-16х+36=0
4х²-40х+36=0
х²-10х+9=0
D/4=25-9=16=+-4²
х1=5+4=9
х2=5-4=1 - не подходит, т.к. 3^(2-6)≠3^(4√1)