Question

Gpt:  \(\sqrt{x^2-4x+4}=3\)

Answer 1

\(\sqrt{x^2-4x+4}=3\Leftrightarrow\sqrt{\left(x-2\right)^2}=3\Leftrightarrow lx-2l=3\)

(+) l x - 2 l = x - 2 khi x>=2 

   x - 2 = 3 => x = 5 

(+) lx - 2l = 2 -x khi x<=2

           2 - x  = 3 

             -x   = 1

              x     = -1

Answer 2

\(\Leftrightarrow\sqrt{\left(x-2\right)^2}=3\Leftrightarrow\left|x-2\right|=3\Leftrightarrow x-2=+-3\Leftrightarrow x=2+-3\)

=> S=...

Answer 3

\(=\sqrt{\left(x-2\right)^2}=\left|x-2\right|=3\)

\(\Rightarrow TH1:x-2=3\Rightarrow x=5\)

   \(TH2:x-2=-3\Rightarrow x=-1\)