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wwwdasha00
@wwwdasha00
August 2022
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решите уравнение:
x^2/x^2-9=x/x^2-9
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agasikkk
Крест накрест
(x²-9)(x²)=(x²-9)(x)
x^4-9x²=x³-9x
x^4-x³-9x²+9x
x(x³-x²-9x+9)=0
x((x³-x²)-(9x-9)=0
x((x²(x-1)-9(x-1)=0
x(x-1)(x²-9)=0
x=0
x-1⇒
x=1
x²-9⇒
x=+-3
2 votes
Thanks 3
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Answers & Comments
(x²-9)(x²)=(x²-9)(x)
x^4-9x²=x³-9x
x^4-x³-9x²+9x
x(x³-x²-9x+9)=0
x((x³-x²)-(9x-9)=0
x((x²(x-1)-9(x-1)=0
x(x-1)(x²-9)=0
x=0
x-1⇒x=1
x²-9⇒x=+-3