Question

28 Rezolvați ecuațiile: a |2x - 8|=|x+2|; b |2-3x|=|-x+3|. ​

Answer 1

Răspuns:

a) |2x-8|=|x+2|

separam ecuatia in 2 cazuri posibile :

1) 2x-8= x+2

2x-x=2+8

x=10

2) 2x-8= -(x+2)

2x-8=-x-2

2x+x=-2+8

3x=6

x=2

b) |2-3x|=|-x+3|

1) 2-3x=-x+3

-3x+x=3-2

-2x=1

x=-1/2

2) 2-3x=-(-x+3)

2-3x=+x-3

-3x-x=-3-2

-4x=-5

x=5/4