y = 5x/(2|x+1|-5) При каких x, y = 2?. Created by mmrplt. matematika-ru

(2|x+1|-5) При каких x, y = 2?...

mmb1

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Y = 5x/(2|x+1|-5)
При каких x, y = 2
--------------------------
2 = 5x/(2|x+1|-5)
ОДЗ 2|x+1|≠5 |x+1|≠2.5 х≠-3.5 х≠1.5
2 *(2|x+1|-5) = 5х
4*|x+1|-10 = 5х
4*|x+1| = 5х+10
1. x<-1
-4*(x+1) = 5х+10
-4x -4 = 5x+ 10
9x=-14
x=-14/9
2. x≥-1
4*(x+1) = 5х+10
4x + 4 = 5x + 10
x=-6 Нет
ответ -14/9

2 votes Thanks 1

sedinalana

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5x/(2|x+1|-5)=2
4|x+1|-10=5x
1)x<-1
-4x-4-10=5x
5x+4x=-14
9x=-14
x=-14/9
2)x≥-1
4x+4-10=5x
5x-x=-6
4x=-6
x=-1.5 не удов усл
Ответ x=-1 5/9

0 votes Thanks 1

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