Answer:
[tex]x=4,\:x=0[/tex]
Step-by-step explanation:
[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]
[tex]\left(x-2\right)^2=4[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=4,\:x=0[/tex]