Question

.............va rog ajutati-ma​

Answer 1

d)x-2|=3

cazul 1) x-2=3

=>x=3+2=5

cazul 2)x-2=-3

=>x=-3+2=-1

=>S={5;-1}

e)|-x+3|=7

cazul 1)-x+3=7

=>-x=7-3

=>x=-4

cazul 2)-x+3=-7

-x=-7-3

=>-x=-10|•(-1)

=>x=10

=>S={-4;10}

f)

|-2x|+1=15

=>|-2x|=14

cazul 1)-2x=14

=>x=14:(-2)

=>x=-7

cazul 2)-2x=-14

=>x=-14:(-2)

=>x=7

=>S={-7;7}

g)|2x-3|=11

cazul 1)2x-3=11

=>2x=14

=>x=7

cazul 2)2x-3=-11

=>2x=-11+3=>2x=-8=>x=-4

=>S={7;-4}

h)|-2x+2|-4=16

=>|-2x+2|=16+4

=>|-2x+2|=20

cazul 1)-2x+2=20

=>-2x=18

=>x=-9

cazul 2)-2x+2=-20

=>-2x=-20-2

=>-2x=-22|•(-1)

=>x=22:2=11

=>S={-9;11}

i)14-|-x+4|=8

=>-|-x+4|=8-14

=>-|-x+4|=-6|•(-1)

=>|-x+4|=6

cazul 1)-x+4=6

=>-x=6-4=>x=-2

cazul 2)-x+4=-6

=>-x=-6-4=>-x=-10|•(-1)

=>x=10

S={-2;10}