what is a solution of x^{2}+121=0?

-11, 11
11, 11i
11, -11i
-11i, 11i

The solution of x^{2} + 121 = 0 is 11i and -11i.

what does the i mean

The symbol "i" represents the imaginary unit in mathematics. It is defined as the square root of -1. In equations or expressions, the presence of "i" indicates that there is an imaginary component involved. In this case, the solutions 11i and -11i indicate that the equation has complex roots.