Đáp án:
x=2015
Giải thích các bước giải:
\(\begin{array}{l}
\left| {x - 2014} \right| + \left| {x - 2015} \right| + \left| {x - 2016} \right| = 2\\
TH1:x \ge 2016\\
Pt \to x - 2014 + x - 2015 + x - 2016 = 2\\
\to 3x = 6047\\
\to x = \dfrac{{6047}}{3}\left( l \right)\\
TH2:2016 > x \ge 2015\\
Pt \to x - 2014 + x - 2015 - x + 2016 = 2\\
\to x = 2015\left( {TM} \right)\\
TH3:2015 > x \ge 2014\\
Pt \to x - 2014 - x + 2015 - x + 2016 = 2\\
\to - x = - 2015\\
\to x = 2015\left( l \right)\\
TH4:2014 > x\\
Pt \to - x + 2014 - x + 2015 - x + 2016 = 2\\
\to - 3x = - 6043\\
\to x = \dfrac{{6043}}{3}\left( l \right)\\
KL:x = 2015
\end{array}\)
