For all integers \(a\) and \(b,\) \(a\%b = (a + b)(a - b).\) If \(5\%x = 9,\) then which of the following could be a value of \(x?\)

A. -4

B. -3

C. 2

D. 3

E. 6

Answer: A

Source: Veritas Prep

## For all integers \(a\) and \(b,\) \(a\%b = (a + b)(a - b).\) If \(5\%x = 9,\) then which of the following could be a val

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**Solution:**

Translating 5%x = 9 into a regular equation, we have:

(5 + x)(5 - x) = 9

25 - x^2 = 9

16 = x^2

x = 4 or -4

**Answer: A**

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