[tex] x^{2} -5x=-2[/tex]
[tex] x^{2} -5x + \frac{25}{4}=-2+ \frac{25}{4}[/tex]
[tex](x- \frac{5}{2})^2 = \frac{17}{4} [/tex]
[tex](x- \frac{5}{2}) = \pm \sqrt{\frac{17}{4} } = \pm\frac{ \sqrt{17} }{2} [/tex]
[tex]x = \pm\frac{ \sqrt{17} }{2} - \frac{5}{2}[/tex]
[tex]\boxed{x_1 = \frac{ \sqrt{17}-5 }{2}}[/tex]
[tex]\boxed{x_2 = \frac{ -\sqrt{17}-5 }{2}}[/tex]
