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арина1147
@арина1147
July 2022
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9х^3 -16х=27х^2 -48 решите уравнения
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Ekaterina85265
9х³-16х=27х²-48
9х³-16х-27х³+48=0
(9х³-2х²)+(16х+48)=0
9х²(х-3)+16(-х+3)=0
-9х²(3-х)+16(3-х)=0
(3-х)(16-9х²)=0
-х+3=0 16-9х²=0
-х=-3 /(-1) -9х²=-16 /9
х=3 х²=16/9
х1,2=+-4/3
ответ х1=-4/3 х2=4/3 х3=3
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Answers & Comments
9х³-16х-27х³+48=0
(9х³-2х²)+(16х+48)=0
9х²(х-3)+16(-х+3)=0
-9х²(3-х)+16(3-х)=0
(3-х)(16-9х²)=0
-х+3=0 16-9х²=0
-х=-3 /(-1) -9х²=-16 /9
х=3 х²=16/9
х1,2=+-4/3
ответ х1=-4/3 х2=4/3 х3=3