解方程:(1)2/(x+1)+3/(x-1)=6/(x^2-6) (2)x-2/(x+2)-16/(x^2-4)=x+2
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解方程:(1)2/(x+1)+3/(x-1)=6/(x^2-6) (2)x-2/(x+2)-16/(x^2-4)=x+2/(x-2) (3)3/x+6/(x-1)=x+5/(x^2-x)
![解方程:(1)2/(x+1)+3/(x-1)=6/(x^2-6) (2)x-2/(x+2)-16/(x^2-4)=x+2](/uploads/image/z/15259905-9-5.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%BC%9A%281%292%2F%28x%2B1%29%2B3%2F%28x-1%29%3D6%2F%28x%5E2-6%29+%282%29x-2%2F%28x%2B2%29-16%2F%28x%5E2-4%29%3Dx%2B2)
(1)2/(x+1)+3/(x-1)=6/(x^2- 1 )
2(x-1)+3(x+1)=6
2x-1+3x+3=6
5x=4
x=4/5
检验:
(2)(x-2)/(x+2)-16/(x^2-4)=(x+2)/(x-2)
(x-2)²-16=(x+2)²
-16=8x
x=-2
检验:x=-2是增根
(3)3/x+6/(x-1)=(x+5)/(x^2-x)
3(x-1)+6x=x+5
3x-3+6x=x+5
8x=8
x=1
检验:x=1是增根
2(x-1)+3(x+1)=6
2x-1+3x+3=6
5x=4
x=4/5
检验:
(2)(x-2)/(x+2)-16/(x^2-4)=(x+2)/(x-2)
(x-2)²-16=(x+2)²
-16=8x
x=-2
检验:x=-2是增根
(3)3/x+6/(x-1)=(x+5)/(x^2-x)
3(x-1)+6x=x+5
3x-3+6x=x+5
8x=8
x=1
检验:x=1是增根
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