$5x^{2}-8xy+y^2-4x=-4$
5$x^{2}$-8xy+$y^{2}$-4x+4=0
<=>$x^{2}$-4x+4+4$x^{2}$-8xy+$y^{2}$=0
<=>$(x-2)^{2}$+$(2x-y)^{2}$=0
<=>$\left\{ \begin{array}{l} x-2=0\\ 2x-y=0 \end{array} \right.$
<=>$\left\{ \begin{array}{l} x=2\\ y=4 \end{array} \right.$
Vậy S=(2;4)

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