作业帮 > 数学 > 作业

x-1\x-2+x-6\x-7=x-2\x-3+x-5\x-6 分式方程

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/04/26 09:26:43
x-1\x-2+x-6\x-7=x-2\x-3+x-5\x-6 分式方程
X-1/X-2-(X-2)/(X-3)=(X-5)/(X-6)-(X-6)/(X-7)
(X-1)(X-3)-(X-2)²/(X-2)(x-3)=(X-5)(X-7)-(X-6)²/(X-6)(x-7)
(X²-4X+3-X²+4X-4)/(X-2)(x-3)=(X²-12X+35-X²+12X-36)/(X-6)(x-7)
-1/(X-2)(x-3)=-1/(X-6)(x-7)
(X-2)(x-3)=(X-6)(x-7)
X²-5X+6=X²-13X+42
8X=36
X=9/2=4.5