解方程:1/x-7-1/x-5=1/x-6-1/x-4解方程:1/x-7-1/x-5=1/x-6-1/x-4

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 03:41:29
解方程:1/x-7-1/x-5=1/x-6-1/x-4解方程:1/x-7-1/x-5=1/x-6-1/x-4

解方程:1/x-7-1/x-5=1/x-6-1/x-4解方程:1/x-7-1/x-5=1/x-6-1/x-4
解方程:1/x-7-1/x-5=1/x-6-1/x-4
解方程:1/x-7-1/x-5=1/x-6-1/x-4

解方程:1/x-7-1/x-5=1/x-6-1/x-4解方程:1/x-7-1/x-5=1/x-6-1/x-4
1/x-7-1/x-5=1/x-6-1/x-4
1/x-7+1/x-4=1/x-6+1/x-5
(x-4+x-7)/(x-7)(x-4)=(x-5+x-6)/(x-6)(x-5)
(2x-11)/(x^2-4x-7x+28)=(2x-11)/(x^2-5x-6x+30)
(2x-11)(x^2-4x-7x+28)=(2x-11)(x^2-5x-6x+30)
(2x-11)(x^2-11x+28-x^2+11x-30)=0
(2x-11)=0
x=11/2

1/x-7-1/x-5=1/x-6-1/x-4
1/x-7+1/x-4=1/x-6+1/x-5
(x-4+x-7)/(x-7)(x-4)=(x-5+x-6)/(x-6)(x-5)
(2x-11)/(x^2-4x-7x+28)=(2x-11)/(x^2-5x-6x+30)
(2x-11)(x^2-4x-7x+28)=(2x-11)(x^2-5x-6x+30)
(2x-11)(x^2-11x+28-x^2+11x-30)=0
(2x-11)=0
x=11/2

方程1/(X-7 )- 1/(X-5)=1/(X-6 )- 1/(X-4) 即1/(X-7 )+1/(X-4)=1/(X-6 )+1/(X-5) 解为x=(7+4)/(7-5)=(5+6