Question

|X|=$frac{x}{2}$+28

Answer 1

1) х>0, /x/=x
x=x/2+28
x-x/2=28
x/2=28
x=56
проверка
/56/=56=(56/2)+28=28+28=56

2) x<0, /x/=-x
-x=x/2+28
-x-x/2=28
-(3/2)x=28
x=-28/(3/2)=-28*2/3=- 56/3= - 18 2/3
проверка
/-18 2/3 /=18 2/3=(-18 2/3)/2  +28 = -9  1/3 +28 =19-1/3=18 2/3

Ответ. х={-18 2/3; 56}