數學知識交流---解方程

2011-08-01 11:39 pm
解方程
圖片參考:http://imgcld.yimg.com/8/n/HA01076848/o/701108010074613873435620.jpg
。請詳細說明答案。

回答 (1)

2011-08-01 11:56 pm
✔ 最佳答案
(x-1)/(x-3)+(x-5)/(x-7)=(x-9)/(x-11)+(x+3)/(x+1)
Sol
(x-1)/(x-3)+(x-5)/(x-7)=(x-9)/(x-11)+(x+3)/(x+1)
1+2/(x-3)+1+2/(x-7)=1+2/(x-11)+1+2/(x+1)
1/(x-3)+1/(x-7)=1/(x-11)+1/(x+1)
(2x-10)/(x^2-10x+21)=(2x-10)/(x^2-10x-11)
2x-10=0
x=5




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