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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