If a and x represent real numbers for which x2 = -a, which of the following statements could be true?

I. a > 0
II. a = 0
III. a < 0

(A) None
(B) II only
(C) III only
(D) I and II only
(E) II and III only

Show/Hide Answer


Choice E
Level of Difficulty 1 2 3 4 5

Remember that anything squared (raised to the second power) cannot be negative - it can be either positive or zero. Therefore, only Roman numerals II and III represent correct statements, or choice E.

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