ISEE Word Problems Question 254: Answer and Explanation

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Question: 254

3. For which value(s) of x is it true that = 0?

  • A. x = 2 and x = 3
  • B. x = 6 only
  • C. x = –6 and x = 6
  • D. x = 2, x = 3, and x = 6

Correct Answer: C

Explanation:

C

A fraction will equal zero if the numerator equals zero. Here the numerator will equal zero if x2 = 36, as 36 – 36 = 0. There are two values of x that satisfy the equation: ±6.

Test the answer choices. The numbers in choices (A) and (D) will not solve out to zero. While the number in choice (B) will, the answer is incomplete. Both numbers in choice (C) will solve out to zero.

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