Answer the question.
-If $\mathrm { n }$ is an even number, then which of the following statements is true?
A) The equation $x ^ { n } + 1 = 0$ has exactly one real root.
B) The equation $x ^ { n } + 1 = 0$ has $n + 1$ roots.
C) The equation $x ^ { n } + 1 = 0$ has $n$ nonreal roots.
D) The equation $x ^ { n } + 1 = 0$ has at least one real root.

Question

Quizplus · Accepted Answer

For even $n$, $x^n + 1 = 0$ has no real roots because $x^n$ is non-negative for all real $x$, so all roots are nonreal.

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

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