53. \( \frac{x^{2}+1}{(x-2)\left(x^{2}-3 x+2\right)} \)

ii) \( \frac{4 x^{2}+3 x+7}{x+1} \)

\( x = \frac { - ( - 1 ) \pm \sqrt { - 79 } } { 2.1 } \)

d the exact value of the solution to the equation \( 2 e^{2 x}-7 e^{x}-4=0 \)

\( \left\{ \begin{array} { l } { 2 x y - y = 7 } \\ { x - 5 y - 2 } \end{array} \right. \)

5. Separen en términos y resuelvan. a. \( \left(-\frac{4}{3}+\frac{1}{6}\right)-\left(-\frac{3}{2}\right)^{-2}+\sqrt[3]{\left(\frac{3}{4}+\frac{1}{8}\right)-} \) b. \( \left(\frac{3}{2}-\frac{1}{2}\right)^{2}+\sqrt[3]{-\frac{1}{64}}-0.5= \) c. \( \sqrt[3]{1-\frac{7}{8}}-\left(-\frac{2}{5}+\frac{1}{10}\right)^{-4}+0.3- \) d. \( -\left(\frac{8}{5}-\frac{6}{15}\right)-\sqrt[3]{1-\frac{31}{32}}+\left(\frac{7}{5}\right)^{2}= \)