5. [7 marks] Consider the equation \( x^{2}+(k-1) x+1=0 \), where \( k \) is a real number. Find the values of \( k \) for which the equation has two equal real solutions.

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

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

November 2018 ZIMSEC Paper 1 Solve the following simultancous equations: \[ \begin{array}{l}e^{2 x+y}=1 \\ 4 x-3 y=10\end{array} \]

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

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