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buchuk1971
@buchuk1971
July 2022
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zews1065
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(х+2)/(х²-2х)-х/(х-2)-3/х=0
(х+2)/(х²-2х)-х²/(х²-2х)-3(х-2)/
(х²-2х)=0
(х+2-х²-3х+6)/
(х²-2х)=0
(
-х²-2х+8)/
(х²-2х)=0
-х²-2х+8=0 и х²-2х≠0
х(х-2)≠0, х1≠0, х2≠2
-х²-2х+8
=0
д=4+32=36
√д=6
х3=(2-6)/-2=2
х4=(2+6)/-2=-4
х3 отпадает так как
х2≠2
значит ответ
х4=4.
1 votes
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Answers & Comments
Verified answer
(х+2)/(х²-2х)-х/(х-2)-3/х=0(х+2)/(х²-2х)-х²/(х²-2х)-3(х-2)/(х²-2х)=0
(х+2-х²-3х+6)/(х²-2х)=0
(-х²-2х+8)/(х²-2х)=0
-х²-2х+8=0 и х²-2х≠0
х(х-2)≠0, х1≠0, х2≠2
-х²-2х+8=0
д=4+32=36
√д=6
х3=(2-6)/-2=2
х4=(2+6)/-2=-4
х3 отпадает так как х2≠2
значит ответ х4=4.