2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程

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2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程
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2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程
2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程

2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程
2(x+1)^2/(x^2)+(x+1)/(x)-6=0 两边乘x^2
2(x+1)^2+x(x+1)-6x^2=0
2x^2+4x+2+x^2+x-6x^2=0
-3x^2+5x+2=0
3x^2-5x-2=0
(3x+1)(x-2)=0
x1=-1/3 x2=2

x1=-1/3 x2=2

2(x+1)^2+x(x+1)-6x^2=0
2x^2+4x+2+x^2+x-6x^2=0
-3x^2+5x+2=0
3x^2-5x-2=0
(3x+1)(x-2)=0
x1=-1/3 x2=2

设(x+1)/(x)=a
则2a^2+a-6=o
(2a-3)(a+2)=0
a=3/2或a=-2
(x+1)/x=-2时x=-1/3
(x+1)/x=3/2时x=2
总队上所述,x=-1/3或2

lz,2(x+1)^2+x(x+1)-6x^2=0
2x^2+4x+2+x^2+x-6x^2=0
-3x^2+5x+2=0
3x^2-5x-2=0
(3x+1)(x-2)=0
x1=-1/3 x2=2