Question

1/x-2 - 1/x-4=1/x-6 - 1/x-8 решите пжлст

Answer 1

1/х-2-1/х-4=1/х-6-1/х-8


х-4-(х-2)/(х-2)(х-4)=х-8-(х-6)/(х-6)(х-8)

х-4-х+2/(х-2)(х-4)=х-8-х+6/(х-6)(х-8)

-2/(х-2)(х-4)=-2/(х-6)(х-8)
(х-2)(х-4)=(х-6)(х-8)
(х-2)(х-4)-(х-6)(х-8)=0
х^2-4х-2х+8-(х^2-8х-6х+48)=0
х^2-4хя2х+8-(х^2-14х+48)=0
х^2-4х-2х+8-х^2+14х-48=0
8х-40=0
8х=40
х=5