Pismeni zadaci

Zadatak 0114

Test: MKo6BGI_023

 

Reši jednačine: a) \(\left | x \right |=7\);  b) \(\left | x-7 \right |-3=9\);  c) \(\left | x+1 \right |+11=12\).

 

Rešenje:


 

a) \(\left | x \right |=7\)

 

\( x=7\)   ili   \( x=-7\).

 

b) \(\left | x-7 \right |-3=9\)

 

\(\left | x-7 \right |=9+3\)

 

\(\left | x-7 \right |=12\)

 

\( x-7=12\)   ili   \(x-7=-12\)

 

\( x=12+7\)   ili  \(x=-12+7\)

 

\( x=19\)   ili  \(x=-5\);

 

c) \(\left | x+1 \right |+11=12\)

 

\(\left | x+1 \right |=1\)

 

\( x+1 =1\)   ili   \( x+1 =-1\)

 

\( x =1-1\)   ili   \( x =-1-1\)

 

\( x =0\)   ili   \( x =-2\).