Answer the Question $\mathrm { n }$ Is an Odd Number, Then Which of the Following Statements

Multiple Choice

Answer the question.
-If $\mathrm { n }$ is an odd number, then which of the following statements is true?

A) The equation $x ^ { n } + 1 = 0$ has an even number of real roots.
B) The equation $x ^ { n } + 1 = 0$ has $n + 1$ roots.
C) The equation $x ^ { n } + 1 = 0$ has an odd number of nonreal roots.
D) The equation $\mathrm { x } ^ { \mathrm { n } } + 1 = 0$ has exactly one real root.