836*.
1)||2х+3|-2|=5
2)||3х-2|+3|=7
3)||4х+3|-5|=8
Ответ
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1) ||2x + 3| - 2| = 5
|2x + 3| - 2 = 5
|2x + 3| = 5 + 2
|2x + 3| = 7
2x + 3 = 7
2х = 7 - 3
2х = 4
х = 4 : 2
x1 = 2
|2x + 3| - 2 = (-5)
|2x + 3| = (-5) + 2
|2x + 3| = (-3)
2x + 3 = (-3)
2х = (-3) - 3
2х = (-6)
х = (-6) : 2
х2 = (-3)
2) ||3x - 2| + 3| = 7
|3x - 2| + 3 = 7
|3x - 2| = 7 - 3
|3x - 2| = 4
3x - 2 = 4
3х = 4 + 2
3х = 6
х = 6 : 3
х1 = 2
|3x - 2| + 3 = (-7)
|3x - 2| = (-7) - 3
|3x - 2| = (-10)
3x - 2 = (-10)
3х = (-10) + 2
3х = (-8)
х = (-8) : 3
х2 = 2,(6)7
3) ||4x + 3| - 5| = 8
|4x + 3| - 5 = 8
|4x + 3| = 8 + 5
|4x + 3| = 13
4x + 3 = 13
4x = 13 - 3
4х = 10
х = 10 : 4
x1 = 2,5
|4x + 3| - 5 = (-8)
|4x + 3| = (-8) + 5
|4x + 3| = (-3)
4x + 3 = (-3)
4x = (-3) - 3
4х = (-6)
х = (-6) : 4
х2 = (-1,5)
х = (-6) : 4
х2 = (-1,5)