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shtannikov01
@shtannikov01
August 2022
1
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Здравствуйте!
Помогите решить уравнение!
Заранее буду благодарен! =)
P.S.: уравнение на прикреп. файле)
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sedinalana
Verified answer
X³(x-1)-3x²(x-1)-5x(x-1)-(x-1)=0
(x-1)(x³-3x²-5x-1)=0
(x-1)[x²(x=1)-4x(x+1)-(x+1)]=0
(x-1)(x+1)(x²-4x-1)=0
x-1=0⇒x=1
x+1=0⇒x=-1
x²-4x-1=0
D=16+4=20
x=(4-2√5)/2=2-√5
x=2+√5
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Answers & Comments
Verified answer
X³(x-1)-3x²(x-1)-5x(x-1)-(x-1)=0(x-1)(x³-3x²-5x-1)=0
(x-1)[x²(x=1)-4x(x+1)-(x+1)]=0
(x-1)(x+1)(x²-4x-1)=0
x-1=0⇒x=1
x+1=0⇒x=-1
x²-4x-1=0
D=16+4=20
x=(4-2√5)/2=2-√5
x=2+√5