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Dada1000
@Dada1000
August 2022
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х^6+2х^4-3х^2=0 помогите пожалуйста
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AnonimusPro
Verified answer
X^2(x^4+2x^2-3)=0
x^2=0
x1=0
x^4+2x^2-3=0
x^2=y, y>=0
y^2+2y-3=0
D=4+12=16
y1=(-2+4)/2=1
y2=(-2-4)/2=-3<0
x^2=1
x2=1
x3=-1
Ответ: x1=0; x2=1; x3=-1
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Answers & Comments
Verified answer
X^2(x^4+2x^2-3)=0x^2=0
x1=0
x^4+2x^2-3=0
x^2=y, y>=0
y^2+2y-3=0
D=4+12=16
y1=(-2+4)/2=1
y2=(-2-4)/2=-3<0
x^2=1
x2=1
x3=-1
Ответ: x1=0; x2=1; x3=-1