Question

Doar exercițiul 16
Va rog!!!!​

Answer 1

Răspuns:

a) |2x-3|=9

1. 2x-3=9=> 2x=12 x=6

2. 2x-3=-9=> 2x=-6 x=-3

b) |-2x-1|=7

1. -2x-1=7=> -2x=8 x=-4

2. -2x-1=-7=> -2x=-6 x=3

c) |-x-2|=4

1. -x-2=4=> -x=6 x=-6

2. -x-2=-4=> -x=-2 x=2

d) 11-|-2x-7|=6

-|-2x-7|=-5 |-2x-7|=5

1. -2x-7=5=> -2x=12 x=-6

2.-2x-7=-5=> -2x=2 x=-1

e) ||x+2|-5|=3

1. |x+2|-5=3=> |x+2|=8 a. x+2=8 x=6

b. x+2=-8 x=-10

2. |x+2|-5=-3=> |x+2|=2 c. x+2=2 x=0

d. x+2=-2 x=-4

f) ||x+3|-6|=9

1. |x+3|-6=9=> |x+3|=15 a. x+3=15 x=12

b. x+3=-15 x=-18

2. |x+3|-6=-9=> |x+3|=-3 => x nu are valori

g) ||x-2|-3|=7

1. |x-2|-3=7=> |x-2|=10 a. x-2=10 x=12

b. x-2=-10 x=-8

2. |x-2|-3=-7=> |x-2|=-4=> x nu are valori

h) |11-|x+5||=14

1. 11-|x+5|=14=> -|x+5|=3 |x+5|=-3=> x nu are valori

2. 11-|x+5|=-14=> -|x+5|=-25 |x+5|=25

a. x+5=25 x=20

b. x+5=-25 x=-30

i) |12-|x-4||=8

1. 12-|x-4|=8=> -|x-4|=-4 |x-4|=4

a. x-4=4 x=8

b. x-4=-4 x=0

2. 12-|x-4|=-8=> -|x-4|=-20 |x-4|=20

a. x-4=20 x=24

b. x-4=-20 x=-16

j) |7-|x-2||=9

1. 7-|x-2|=9=> -|x-2|=2 |x-2|=-2=> x nu are valori

2. 7-|x-2|=-9=> -|x-2|=-16 |x-2|=16

a.x-2=16 x=18

b. x-2=-16 x=-14