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Vorobyshek1st
@Vorobyshek1st
July 2022
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решите уравнение. пожалуйста
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natali3221
(2х+1)/(х²+5х+6) + 3\(х²+9х+18)=1\(х+3)
(2х+1)\((х+3)(х+2)+3\((х+6)(х+3))=1\(х+3)
Приведём к общему знаменателю :(х+3)(х+2)(х+6)
(2х+1)(х+6) +3(х+2)= (х+6)(х+2) х≠-2, х≠-3, х≠-6
2х²+12х+х+6+3х+6=х²+8х+12
2х²-х²+16х-8х+12-12=0
х²+8х=0
х(х+8)=0
х=0 х+8=0
х=-8
Ответ: 0; -8
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Answers & Comments
(2х+1)\((х+3)(х+2)+3\((х+6)(х+3))=1\(х+3)
Приведём к общему знаменателю :(х+3)(х+2)(х+6)
(2х+1)(х+6) +3(х+2)= (х+6)(х+2) х≠-2, х≠-3, х≠-6
2х²+12х+х+6+3х+6=х²+8х+12
2х²-х²+16х-8х+12-12=0
х²+8х=0
х(х+8)=0
х=0 х+8=0
х=-8
Ответ: 0; -8