Number Theory

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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

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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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