Ta có: \(\left|2-x\right|\ge0\forall x\)
\(\left|x^2-4\right|\ge0\forall x\)
Do đó: \(\left|2-x\right|+\left|x^2-4\right|\ge0\forall x\)
Dấu '=' xảy ra khi x=2
\(\left|2-x\right|+\left|x^2-4\right|=0\)
⇒ 2-x+x2-4=0
2+x2-x-4=0
-2+x.(x+1)=0
⇒x.(x+1)=2
⇒x=1

