Question

45+6.|x-56|=105

 

Answer 1

45 + 6| x - 56 | = 105

6 | x - 56 | = 105 - 45

6 | x - 56 | = 60

| x - 56 | = 60 : 6

| x - 56 | = 10

\(\Rightarrow\orbr{\begin{cases}x-56=10\\x-56=-10\end{cases}\Rightarrow\orbr{\begin{cases}x=66\\x=46\end{cases}}}\)

Answer 2

45+6./x-56/=105

=6./x-56/=105-45

=6./x-56/=60

=/x-56/=60:6

=/x-56/=10

=>x-56=10

     x-56=-10

=>x=10+56

     x=(-10)+56

=>x=66

     x=46

Answer 3

\(45+6\left|x-56\right|=105\)

\(\Leftrightarrow6\left|x-56\right|=60\)

\(\Leftrightarrow\left|x-56\right|=10\)

\(\Leftrightarrow\orbr{\begin{cases}x-56=10\\x-56=-10\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=66\\x=46\end{cases}}\)