解方程:x^3+12x-8-6x^2=0
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解方程:x^3+12x-8-6x^2=0解方程:x^3+12x-8-6x^2=0解方程:x^3+12x-8-6x^2=0x^3+12x-8-6x^2=(x^3-8)-(6x^2-12x)=(x-2)(
解方程:x^3+12x-8-6x^2=0
解方程:x^3+12x-8-6x^2=0
解方程:x^3+12x-8-6x^2=0
x^3+12x-8-6x^2=(x^3-8) - (6x^2-12x) =(x-2)(x^2+2x+4)-6x(x-2)
=(x-2)(x^2-4x+4)=(x-2)^3=0
得x=2(三重根)
这种题目关键在于观察后进行因式分解!
2
用导数求比较容易
方程的导数是3x^2+12-12x=0
解导数的方程的x=2
x^3-2x^2-4x^2+8x+4x-8=0
(x-2)(x^2-4x+4)=0
(x-2)^3=0
x=2
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解方程:x^3+12x-8-6x^2=0
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