1. The problem is to find the values of $m$ and $k$ given four pairs: $(m=1, k=-5)$, $(m=1, k=5)$, $(m=-5, k=1)$, and $(m=5, k=1)$. 2. Since the pairs are given explicitly, the values of $m$ and $k$ are directly stated in each pair. 3. The pairs represent four distinct combinations of $m$ and $k$ values: - First pair: $m=1$, $k=-5$ - Second pair: $m=1$, $k=5$ - Third pair: $m=-5$, $k=1$ - Fourth pair: $m=5$, $k=1$ 4. There is no further calculation needed as the values are already provided. Final answer: The values of $m$ and $k$ are the four pairs listed above.