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ангелина932
@ангелина932
August 2022
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х^5+х^4-6х^3-6х^2+8х+8=0 пожалуйста помогите!
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AnonimusPro
Verified answer
X^4(x+1)-6x^2(x+x)+8(x+1)=0
(x+1)(x^4-6x^2+8)=0
x+1=0
x1=-1
x^4-6x^2+8=0
x^2=y, y>=0
y^2-6y+8=0
D=36-32=4=2^2
y1=(6+2)/2=4
y2=(6-2)/2=2
x^2=4
x2=2
x3=-2
x^2=2
x4=sqrt(2)
x5=-sqrt(2)
Ответ: x1=-1; x2=2; x3=-2; x4=sqrt(2); x5=-sqrt(2)
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Answers & Comments
Verified answer
X^4(x+1)-6x^2(x+x)+8(x+1)=0(x+1)(x^4-6x^2+8)=0
x+1=0
x1=-1
x^4-6x^2+8=0
x^2=y, y>=0
y^2-6y+8=0
D=36-32=4=2^2
y1=(6+2)/2=4
y2=(6-2)/2=2
x^2=4
x2=2
x3=-2
x^2=2
x4=sqrt(2)
x5=-sqrt(2)
Ответ: x1=-1; x2=2; x3=-2; x4=sqrt(2); x5=-sqrt(2)