[tex]|2x-8|+(x-4) ^{2} =0 \\ |2x-8| \geq 0~si~(x-4) ^{2} \geq 0 \Rightarrow |2x-8|+(x-4)^{2}=0,~dar \\ |2x-8|+(x-4)^{2}=0 \Rightarrow |2x-8|=0~si~(x-4) ^{2} =0. \\ |2x-8|=0 \Rightarrow 2x-8=0 \Rightarrow x=4. \\ Observam~ca~x=4~verifica~(x-4) ^{2}=0 \Rightarrow Solutie: \boxed{x=4}.[/tex]
