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Lizards
@Lizards
July 2022
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решите уравнение, 9 класс
х(x^2+6x+9)=4(x+3)
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olya115153
X(x²+6x+9)=4(x+3)
x³+6x²+9x=4x+12
x³+6x²+9x-4x-12=0
x³+6x²+5x-12=0
x(x²+5)+6(x²-2)=0
(x+6)(x²+5)(x²-2)=0
x+6=0 или x²+5=0 или x²-2=0
x=-6 x²=-5 x²=2
корней нет x=-√2
x=√2
ответ: -6; -√2; √2
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Answers & Comments
x³+6x²+9x=4x+12
x³+6x²+9x-4x-12=0
x³+6x²+5x-12=0
x(x²+5)+6(x²-2)=0
(x+6)(x²+5)(x²-2)=0
x+6=0 или x²+5=0 или x²-2=0
x=-6 x²=-5 x²=2
корней нет x=-√2
x=√2
ответ: -6; -√2; √2