Respuesta:
[tex]\boxed{\mathfrak{x^{2}-5x+6=0\,\,,x_{1}=3\,\,,x_{2}=2}}[/tex]
Explicación paso a paso:
[tex]\texttt{Usando la f\'ormula general,con a=1,b=-5 y c=6; nos queda:}\\\\x=\frac{-(-5)\pm\sqrt{(-5)^{2}-4(1)(6)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25-24}}{2}\\\\x=\frac{5\pm\sqrt{1}}{2}\\\\x=\frac{5\pm 1}{2}\\\\x_{1}=\frac{5+1}{2}=\frac{6}{2}=3\\\\x_{2}=\frac{5-1}{2}=\frac{4}{2}=2[/tex]