(x-10)/(x-11)+(x-16)/(x-17)=(x-12)/(x-13)+(x-14)/(x-15)
题目
(x-10)/(x-11)+(x-16)/(x-17)=(x-12)/(x-13)+(x-14)/(x-15)
快,急用
答案
两边减去2
(x-10)/(x-11)-1+(x-16)/(x-17)-1=(x-12)/(x-13)-1+(x-14)/(x-15)-1
1/(x-11)+1/(x-17)=1/(x-13)+1/(x-15)
(2x-28)/(x-11)(x-17)-(2x-28)/(x-13)(x-15)=0
(2x-28)[1/(x²-28x+187)-1/(x²-28x+195)=0
因为x²-28x+187≠x²-28x+195
所以2x-28=0
x=14
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