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AGavrilchik
@AGavrilchik
July 2022
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для решения остались номер 6 и номер 9
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tausinv
Verified answer
6) 4*|x-1|-|2x-3|= 8
x = 1, x = 3\2
x < 1
4*(1-x) - (3-2x) = 8
4 - 4x - 3 + 2x = 8
2x = -7
x = -3.5 - подходит
1 <= x <= 3\2
4*(x-1) - (3-2x) = 8
4x - 4 -3 + 2x = 8
6x = 15
x = 15\6 = 5\3 - не подходит
x > 3\2
4*(x-1) - (2x-3) = 8
4x - 4 -2x + 3 = 8
2x = 9
x = 4.5 - подходит
Ответ: x = -3.5, x = 4.5
9) |x+5|/|x+2| -1 = 1
x = -5, x = -2
x < -5
-5-x/-2-x-1 = 1
-5-x = -3 - x
-2 = 0 - неверно
-5 <= x <= -2
x + 5/-2-x-1 = 1
x + 5 = -3 - x
2x = -8
x = - 4, x не равен 3
x > - 2
x + 5/x+2+1 = 1
x + 5 = x + 3
2 = 0 - неверно
Ответ: х = - 4
2 votes
Thanks 1
AGavrilchik
мой спаситель! огромное спасибо!
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Answers & Comments
Verified answer
6) 4*|x-1|-|2x-3|= 8x = 1, x = 3\2
x < 1
4*(1-x) - (3-2x) = 8
4 - 4x - 3 + 2x = 8
2x = -7
x = -3.5 - подходит
1 <= x <= 3\2
4*(x-1) - (3-2x) = 8
4x - 4 -3 + 2x = 8
6x = 15
x = 15\6 = 5\3 - не подходит
x > 3\2
4*(x-1) - (2x-3) = 8
4x - 4 -2x + 3 = 8
2x = 9
x = 4.5 - подходит
Ответ: x = -3.5, x = 4.5
9) |x+5|/|x+2| -1 = 1
x = -5, x = -2
x < -5
-5-x/-2-x-1 = 1
-5-x = -3 - x
-2 = 0 - неверно
-5 <= x <= -2
x + 5/-2-x-1 = 1
x + 5 = -3 - x
2x = -8
x = - 4, x не равен 3
x > - 2
x + 5/x+2+1 = 1
x + 5 = x + 3
2 = 0 - неверно
Ответ: х = - 4