determinant of the matrix, \( M=\left[\begin{array}{cccc}-6 & 0 & 0 & -7 \\ -6 & -1 & 6 & 8 \\ 5 & 0 & 0 & 0 \\ -4 & -4 & -7 & -4\end{array}\right] \)

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

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

Question 8 ( 3 marks) What is the equation of the line that passes through the points \( (1,6) \) and \( (3,2) \) ? \( y=\square x+\square \)

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

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