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PokerGirl
@PokerGirl
July 2022
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2х-1/2х+1= 2х+1/2х-1 + 4/1-4х²
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fiofionina
Verified answer
Решение:
(2х-1)/(2х+1)=(2х+1)/((2х-1)+4/(1-4х²)
(2х-1)/(2х+1)=(2х+1)/(2х-1)-4/((4х²-1)
Приведём уравнение к общему знаменателю: (2х-1)(2х+1)=(4х²-1)
(2х-1)*(2х-1)=(2х+1)*(2х+1)-4
(2х-1)²=(2х+1)²-4
4х²-4х+1-4х²-4х-1+4=0
-8х+4=0
-8х=-4
х= -4 : -8=0,5
Ответ: х=0,5
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Answers & Comments
Verified answer
Решение:(2х-1)/(2х+1)=(2х+1)/((2х-1)+4/(1-4х²)
(2х-1)/(2х+1)=(2х+1)/(2х-1)-4/((4х²-1)
Приведём уравнение к общему знаменателю: (2х-1)(2х+1)=(4х²-1)
(2х-1)*(2х-1)=(2х+1)*(2х+1)-4
(2х-1)²=(2х+1)²-4
4х²-4х+1-4х²-4х-1+4=0
-8х+4=0
-8х=-4
х= -4 : -8=0,5
Ответ: х=0,5