Question 52
For what real values of $k$ does the system of equations
$$
\left\{\begin{array}{l}
x - k y = 0 \\
x^{2} + y = -1
\end{array}\right.
$$
have real solutions?
$$
\left\{\begin{array}{l}
x - k y = 0 \\
x^{2} + y = -1
\end{array}\right.
$$
have real solutions?