Answer:
b) k = 5
Explanation:
For the system to have no solution, the first equation should represent a line that does not intersect with the line represented by the second equation. This occurs when the discriminant of the quadratic equation is negative. For x^2 - k = 5, the discriminant is (-k - 20). For no solution, (-k - 20) < 0. Solving for k gives k > -20, so k = 5 ensures no solution.
