Instrucciones: Responde las siguientes preguntas.

• Determina las soluciones de la siguiente ecuación cuadrática. $$50x^{2}-50x+13 = 0$$
  • $$x_{1} = \frac{2}{5}-\frac{1}{4}i, \hspace{1cm} x_{2} = \frac{2}{5}+\frac{1}{4}i$$
  • $$x_{1} = \frac{1}{2}-\frac{1}{10}i, \hspace{1cm} x_{2} = \frac{1}{2}+\frac{1}{10}i$$
  • $$x_{1} = \frac{5}{7}-\frac{1}{2}i, \hspace{1cm} x_{2} = \frac{5}{7}+\frac{1}{2}i$$
  • $$x_{1} = \frac{4}{3}-2i, \hspace{1cm} x_{2} = \frac{4}{3}+2i$$

• Determina las soluciones de la siguiente ecuación cuadrática. $$4x^{2}-12x+25 = 0$$
  • $$x_{1} = \frac{3}{10}-\frac{1}{3}i, \hspace{1cm} x_{2} = \frac{3}{10}+\frac{1}{3}i$$
  • $$x_{1} = \frac{1}{2}-\frac{5}{4}i, \hspace{1cm} x_{2} = \frac{1}{2}+\frac{5}{4}i$$
  • $$x_{1} = \frac{10}{9}-\frac{1}{9}i, \hspace{1cm} x_{2} = \frac{10}{9}+\frac{1}{9}i$$
  • $$x_{1} = \frac{3}{2}-2i, \hspace{1cm} x_{2} = \frac{3}{2}+2i$$

• Determina las soluciones de la siguiente ecuación cuadrática. $$196x^{2}-196x+449 = 0$$
  • $$x_{1} = \frac{1}{2}-\frac{3}{8}i, \hspace{1cm} x_{2} = \frac{1}{2}+\frac{3}{8}i$$
  • $$x_{1} = \frac{1}{2}-\frac{10}{7}i, \hspace{1cm} x_{2} = \frac{1}{2}+\frac{10}{7}i$$
  • $$x_{1} = 1-\frac{9}{4}i, \hspace{1cm} x_{2} = 1+\frac{9}{4}i$$
  • $$x_{1} = \frac{7}{8}-\frac{6}{5}i, \hspace{1cm} x_{2} = \frac{7}{8}+\frac{6}{5}i$$

• Determina las soluciones de la siguiente ecuación cuadrática. $$576x^{2}-144x+25 = 0$$
  • $$x_{1} = 3-\frac{8}{5}i, \hspace{1cm} x_{2} = 3+\frac{8}{5}i$$
  • $$x_{1} = \frac{9}{7}-\frac{4}{9}i, \hspace{1cm} x_{2} = \frac{9}{7}+\frac{4}{9}i$$
  • $$x_{1} = \frac{1}{8}-\frac{1}{6}i, \hspace{1cm} x_{2} = \frac{1}{8}+\frac{1}{6}i$$
  • $$x_{1} = \frac{5}{3}-2i, \hspace{1cm} x_{2} = \frac{5}{3}+2i$$

• Determina las soluciones de la siguiente ecuación cuadrática. $$16x^{2}-8x+145 = 0$$
  • $$x_{1} = \frac{1}{4}-i, \hspace{1cm} x_{2} = \frac{1}{4}+i$$
  • $$x_{1} = \frac{1}{4}-3i, \hspace{1cm} x_{2} = \frac{1}{4}+3i$$
  • $$x_{1} = \frac{2}{5}-\frac{1}{2}i, \hspace{1cm} x_{2} = \frac{2}{5}+\frac{1}{2}i$$
  • $$x_{1} = \frac{5}{4}-\frac{1}{2}i, \hspace{1cm} x_{2} = \frac{5}{4}+\frac{1}{2}i$$