Question

a)2|x|-3=5
b)|2x-1|=17
c)3|x+1|+5=|x+1|+11
d)-4|2x-1|+2=-|2x-1|-7
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Answer 1

Răspuns:

Explicație pas cu pas:

a)2|x|-3=5

2|x| = 3 + 5 = 8

|x| = 8 : 2 = 4

x = -4 sau 4

______________

b)|2x-1|=17

2x - 1 = 17

2x = 17 + 1 = 18

x = 18 : 2 = 9

2x - 1 = -17

2x = -17 + 1 = -16

x = -16 : 2 = -8

_________________

c)3|x+1|+5=|x+1|+11

3|x+1| - |x+1| = 11 - 5

2|x+1| = 6

|x+1| = 6 : 2 = 3

x + 1 = 3

x = 3 - 1 = 2

x + 1 = -3

x = -3 - 1 = -4

________________

d)-4|2x-1|+2=-|2x-1|-7

-4|2x-1| + |2x-1| = -7 - 2

-3|2x-1| = -9

|2x-1| = -9 : (-3) = 3

2x - 1 = 3

2x = 1 + 3 = 4

x = 4 : 2 = 2

2x - 1 = -3

2x = -3 + 1 = -2

x = -2 : 2 = -1