5. The vectors \( a, b \) and \( c \) are given by: \[ a=\binom{1}{5} \quad b=\binom{-2}{1} \quad c=\binom{-1}{17} \] Find the numbers of \( m \) and \( n \) so that \( m a+n b=c \)

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. \( -\left(\frac{8}{5}-\frac{6}{15}\right)-\sqrt[3]{1-\frac{31}{32}}+\left(\frac{7}{5}\right)^{2}= \)

2.3 Express \( \frac{1}{\sqrt{2}+1} \) in its simpl

2imalify \( \frac{x^{2}-y^{2}}{x^{2} x y} \) \( \frac{y+2 x-3 y}{3 x-2 y}=4 \), evaluate \( 2 x y \) If \( z=\sqrt{x^{2}-y^{2}} \), express \( x \) interm 9 \( y \) and 2

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

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