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sillvannia
@sillvannia
August 2022
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Помогите пожалуйста решить 888-ой номер под "б". Заранее спасибо)
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Checov7400
8х³+12х²+6х+1=0
8х³+8х²+4х²+4х+2х+1=0
8х³+4х²+8х²+4х+2х+1=4х²(2х+1)+4х(2х+1)+(2х+1)=(2х+1)(4х²+4х+1)=
=(2х+1)(2х+1)²=(2х+1)³
(2х+1)³=0
2х+1=0
2х=-1
х=-1/2
Ответ: х=-1/2
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Answers & Comments
8х³+8х²+4х²+4х+2х+1=0
8х³+4х²+8х²+4х+2х+1=4х²(2х+1)+4х(2х+1)+(2х+1)=(2х+1)(4х²+4х+1)=
=(2х+1)(2х+1)²=(2х+1)³
(2х+1)³=0
2х+1=0
2х=-1
х=-1/2
Ответ: х=-1/2