2x^3-6x^2-3x+9=0 X^3-3x-2=0 X^4-3x^2+2x^2-6x=0 X^5-6x^3+9x=0
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2x^3-6x^2-3x+9=0 X^3-3x-2=0 X^4-3x^2+2x^2-6x=0 X^5-6x^3+9x=0解方程,
(1)2x^3-6x^2-3x+9=0
2x^2(x-3)-3(x-3)=0
(2x^2-3)(x-3)
解得:x1=3/2,x2=根号6/2,x3=-根号6/2
(2) X^3-3x-2=0
x^3-2x^2+2x^2-3x-2=0
x^2(x-2)+2x^2-4x+x-2
(x-2)(x^2+2x+1)=0
(x-2)(x+1)^2=0
解得:x1=2,x2=X3=-1
(3)我认为方程应该是X^4-3x^3+2x^2-6x=0
显然有一根为x1=0
当x不等于0时,
x^3-3x^2+2x-6=0
(x^2+2)(x-3)=0
解得:x2=3
(4)X^5-6x^3+9x=0
显然有一根为x1=0
当x不等于0时,x^4-6x^2+9=0
(x^2-3)^2=0
解得:x2=根号3,x3=-根号3
2x^2(x-3)-3(x-3)=0
(2x^2-3)(x-3)
解得:x1=3/2,x2=根号6/2,x3=-根号6/2
(2) X^3-3x-2=0
x^3-2x^2+2x^2-3x-2=0
x^2(x-2)+2x^2-4x+x-2
(x-2)(x^2+2x+1)=0
(x-2)(x+1)^2=0
解得:x1=2,x2=X3=-1
(3)我认为方程应该是X^4-3x^3+2x^2-6x=0
显然有一根为x1=0
当x不等于0时,
x^3-3x^2+2x-6=0
(x^2+2)(x-3)=0
解得:x2=3
(4)X^5-6x^3+9x=0
显然有一根为x1=0
当x不等于0时,x^4-6x^2+9=0
(x^2-3)^2=0
解得:x2=根号3,x3=-根号3
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