第1个回答 2010-05-28
题目复述:(x-1)/(x-2)-(x-3)/(x-4)=(x-2)/(x-3)-(x-4)/(x-5)
解答:整理1/(x-2)(x-3)=1/(x-4)(x-5)
化简得:4x=14;
x=7/2.
第2个回答 2010-05-27
(x-1)=(x-5)
X=4
第3个回答 2020-02-23
1/(x-1)(x-2)=1/(x-4)(x-5)
两边同乘(X-1)(-2)(X-4)(X-5)得
(X-4)(X-5)=(X-1)(X-2)
去括号得
X²-9X+20=X²-3X+2
移项得
X²-9X+20-X²+3X-2=0
合并同类项得
-6X+18=0
解得X=3
把X=3代入原方程中
左边=1/(3-1)(3-2)=1/2
右边=1/(3-4)(3-5)=1/2
左边=右边
所以,原方程的解为X=3
第4个回答 2019-08-20
1/(X-4)+4/(X-1)=2/(X-3)+3/(x-2)
1/(x-4)-2/(x-3)=3/(x-2)-4/(x-1)
[(x-3)-2(x-4)]/(x-4)(x-3)=[3(x-1)-4(x-2)]/(x-2)(x-1)
(5-x)/(x^2-7x+12)=(5-x)/(x^2-3x+2)
(1):5-x=0
x=5
(2):x^2-7x+12=x^2-3x+2
x=2.5
方程的解为:X1=5,X2=2.5