Jessie looks at the equation $(x - 11)^2 + 4 = 0$ and states, “This equation has no solutions!”

1. How can she know without actually solving?

   Hint (a):

   What will the equation look like if she subtracts $4$ from both sides?

2. Solve $(x - 11)^2 + 4 = 0$. Are there really no solutions?

   Partial Answer (b):

   $\textit{x}=11\pm\sqrt{-4}$