|x-4| + |x-6|=2
X = 4 thì phù hợp
\(\left|x-4\right|+\left|x-6\right|=2\)sẽ xảy ra 2 trường hợp:
\(\cdot TH1:x-4+x-6=2\)
\(2x-10=2\)
\(\Rightarrow x=6\)
\(\cdot TH2:-\left(x-4\right)+\left[-\left(x-6\right)\right]=2\)
\(-x+4-x+6=2\)
\(-2x+10=2\)
\(\Rightarrow x=4\)