2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程_数学解答

2(x+1)^2/(x^2)+(x+1)/(x)-6=0 解方程

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解答

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