Question

1/x-5+6=6-x/x-5 dau coronita.

Answer 1

aducem la aclasi numitor ecuatia si vom avea 1+(x-5)×6=6(x-5)-x de unde x=-1

Answer 2

1/x-5+6=6-x/x-5⇒
1+6(x-5)/x-5=6(x-5)-x/x-5⇒
1+6x-30/x-5=6x-30-x/x-5⇒
6x-29/x-5=5x-30/x-5⇒
(x-5)(5x-30)=(x-5)(6x-29)⇒
5x²-30-25x+150=6x²-29x-30x+145⇒
5x²-6x²-25x+59x+150-145=0
-x²+34x-5=0
succes!