[tex] {x}^{2} + {y}^{2} - 2x + 14y + 34 = 0 \\ \Leftrightarrow ( {x}^{2} - 2x + 1) + ( {y}^{2} + 14y + 49) - 16 = 0 \\ \Leftrightarrow {(x - 1)}^{2} + {(y + 7)}^{2} = 16[/tex]
