解方程1(⼀x2+x-2)+1⼀(x2+7x+10)=2

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2025-12-18 09:42:10
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回答1:

1/(x^2+x-2)+1/(x^2+7x+10)=2
1/[(x+2)(x-1)]+1/[(x+5)(x+2)]=2
1/(x-1)+1/(x+5)=2(x+2)
2(x+2)/[(x-1)(x+5)=2(x+2)
当x=-2时 分母为0,无意义,即x+2≠0
则(x-1)(x+5)=1
x^2+4x-6=0
(x+2)=10
x=-2±√10