2x^4-3x^3-16x^2-3x+2=0

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2x^4-3x^3-16x^2-3x+2=02x^4-3x^3-16x^2-3x+2=02x^4-3x^3-16x^2-3x+2=02x^4-3x^3-16x^2-3x+2=0,x=0,不是方程得解,

2x^4-3x^3-16x^2-3x+2=0
2x^4-3x^3-16x^2-3x+2=0

2x^4-3x^3-16x^2-3x+2=0
2x^4-3x^3-16x^2-3x+2=0 ,x=0,不是方程得解,所以等式两边都除以x^2得到：
2x^2-3x-16-3/x+2/x^2=0
2x^2+2/x^2-3x-3/x-16=0
2(x+1/x)^2-4-3(x+1/x)-16=0
2(x+1/x)^2-3(x+1/x)-20=0
(2x+2/x+5)(x+1/x-4)=0
2x+2/x+5=0,
2x^2+5x+2=0
(2x+1)(x+1)=0
x=-1/2,x=-1
x+1/x-4=0
x^2-4x+1=0
(x-2)^2=3
x-2=±√3
x=2+√3,x=2-√3

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