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ElenaGood
@ElenaGood
August 2022
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Решить уравнение.
(x+1)/|x-1| -5 |x-1|/(x+1)+4=0
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ЕкарныйБабай
(x+1)/|x-1| -5 |x-1|/(x+1)+4=0
x≠1 x≠-1
(x+1)/|x-1|=t
t-5/t+4=0
t²+4t-5=0
D=16+20=36
t12=(-4+-6)/2= -5 1
t=1
(x+1)/|x-1|=1
x+1=|x-1|
x>=1 x+1=x-1 решений нет
x<1 x+1=1-x 2x=0 x=0
t=-5
(x+1)/|x-1|=-5
x+1=-5|x-1|
x>=1 x+1=-5(x-1) x+1=-5x+5 6x=4 x=2/3 нет
x<1 x+1=-5(1-x) x+1=-5+5x 4x=6 x = 6/4 нет
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Answers & Comments
x≠1 x≠-1
(x+1)/|x-1|=t
t-5/t+4=0
t²+4t-5=0
D=16+20=36
t12=(-4+-6)/2= -5 1
t=1
(x+1)/|x-1|=1
x+1=|x-1|
x>=1 x+1=x-1 решений нет
x<1 x+1=1-x 2x=0 x=0
t=-5
(x+1)/|x-1|=-5
x+1=-5|x-1|
x>=1 x+1=-5(x-1) x+1=-5x+5 6x=4 x=2/3 нет
x<1 x+1=-5(1-x) x+1=-5+5x 4x=6 x = 6/4 нет
ответ 0