Question

Решите уравнение 4/х^2-9 - x+1/x-3=1

Answer 1

4/х²-9 - x+1/x-3=1
4/(х-3)(х+3) - x+1/x-3=1
4-(х+1)² / (х-3)(х+3)=1
(2-(х+1))(2+х+1) / (х-3)(х+3)=1
(2-х-1)(х+3) / (х-3)(х+3)=1
1-х / х-3=1
1-х = х-3
1+3=х+х
2х=4
х=2