magicmasha
1) 2/(х-2)-10/(х+3)=50/(х^2+х-6)-1; 2(х+3)-10(х-2)/(х-2)(х+3)=50/(х^2+3х-2х-6)-1; (2х+6-10х +20)/(х-2)(х+3)=50/(х(х+3)-2(х+3))-1; (26-8х)/(х-2)(х+3)-50/(х-2)(х+3)+1=0; ((26-50-8х)+(х-2)(х+3))/(х-2)(х+3)=0; (26-50-8х+х^2+3х-2х-6)/(х-2)(х+3)=0; (х^2-7х-30)/(х-2)(х+3)=0; (х^2-10х+3х-30)/(х-2)(х+3)=0; (х(х-10)+3(х-10))/(х-2)(х+3)=0; (х-10)(х+3)/(х-2)(х+3)=0; (х-10)/(х-2)=0; х=10, х не равно 2, т.к.делить на 0 нельзя.
2) (х+5)/(х-1)+(2х-5)/(х-7)-(30-12х)/(8х-х^2-7)=0; ((х+5)(х-7)+(2х-5)(х-1))/(х-1)(х-7)-(-(12х-30))/(-(х^2-8х+7))=0; (х^2-7х+5х-35+2х^2-2х-5х+5)/(х-1)(х-7)-(12х-30))/(х^2-7х-х+7)=0; (3х^2-9х-30)/(х-1)(х-7)-(12х-30))/(х(х-7)-(х-7))=0; (3х^2-9х-30)/(х-1)(х-7)-(12х-30)/(х-1)(х-7)=0; (3х^2-9х-30-12х+30)/(х-1)(х-7)=0; (3х^2-21х)/(х-1)(х-7)=0; 3х(х-7)/(х-1)(х-7)=0; 3х/(х-1)=0; х=0; х не равно 1, т.к. делить на ноль нельзя.
Answers & Comments
2(х+3)-10(х-2)/(х-2)(х+3)=50/(х^2+3х-2х-6)-1;
(2х+6-10х +20)/(х-2)(х+3)=50/(х(х+3)-2(х+3))-1;
(26-8х)/(х-2)(х+3)-50/(х-2)(х+3)+1=0;
((26-50-8х)+(х-2)(х+3))/(х-2)(х+3)=0;
(26-50-8х+х^2+3х-2х-6)/(х-2)(х+3)=0;
(х^2-7х-30)/(х-2)(х+3)=0;
(х^2-10х+3х-30)/(х-2)(х+3)=0;
(х(х-10)+3(х-10))/(х-2)(х+3)=0;
(х-10)(х+3)/(х-2)(х+3)=0;
(х-10)/(х-2)=0;
х=10, х не равно 2, т.к.делить на 0 нельзя.
2) (х+5)/(х-1)+(2х-5)/(х-7)-(30-12х)/(8х-х^2-7)=0;
((х+5)(х-7)+(2х-5)(х-1))/(х-1)(х-7)-(-(12х-30))/(-(х^2-8х+7))=0;
(х^2-7х+5х-35+2х^2-2х-5х+5)/(х-1)(х-7)-(12х-30))/(х^2-7х-х+7)=0;
(3х^2-9х-30)/(х-1)(х-7)-(12х-30))/(х(х-7)-(х-7))=0;
(3х^2-9х-30)/(х-1)(х-7)-(12х-30)/(х-1)(х-7)=0;
(3х^2-9х-30-12х+30)/(х-1)(х-7)=0;
(3х^2-21х)/(х-1)(х-7)=0;
3х(х-7)/(х-1)(х-7)=0;
3х/(х-1)=0;
х=0; х не равно 1, т.к. делить на ноль нельзя.