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melkoc
@melkoc
June 2022
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помогите решить уравнение,пожалуйста
2x-6=14/x+3
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artyom059
2(х-3)=14/(х+3) О.Д.З. х≠-3
х-3=7/(х+3)
(х-3)(х+3)=7 - разность квадратов
х²-9=7
х²-16=0
(х-4)(х+4)=0
х-4=0; х1=4
х+4=0; х2=-4 - это ответы.
3 votes
Thanks 1
melkoc
а как вы нашли?
artyom059
2x*(x+3)-6(x+3)=14
artyom059
2x^2+6x-6x-18=14
artyom059
2x^2=32 x^2=16 x=4 x=-4
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Answers & Comments
х-3=7/(х+3)
(х-3)(х+3)=7 - разность квадратов
х²-9=7
х²-16=0
(х-4)(х+4)=0
х-4=0; х1=4
х+4=0; х2=-4 - это ответы.