Question

Rezolvati in Z ecuațiile : a) |x|=3 b) 8-|x|=3 c) |-x|=1 d) -7+|x|=-2 e) 5-|x-4|=2 f) |2-x| = 5 g) |2x+3| =7 i) 11-|2x+1| =-4

Answer 1

Răspuns:

Explicație pas cu pas:

a) |x|=3  ⇒ x=3

b) 8-|x|=3

8-3=|x|

5=|x|

x=5

c) |-x|=1

-x=1

x=-1

d) -7+|x|=-2

|x|=7-2

|x|=5

x=5

e) 5-|x-4|=2

5-2=|x-4|

3=|x-4|

x-4=3

x=7

f) |2-x| = 5

2-x=5

x=2-5

x=-3

g) |2x+3| =7

2x+3=7

2x=7-3

2x=4

x=2

i) 11-|2x+1| =-4

11+4=|2x+1|

15=2x+1

2x=15-1

2x=14

x=7