The truth set of \(8 + 2x - x^2\) = 0 is {p, q}. Evaluate
MATHEMATICS
WAEC 2023
The truth set of \(8 + 2x - x^2\) = 0 is {p, q}. Evaluate p + q.
- A. 4
- B. 2
- C. -6
- D. -2
Correct Answer: B. 2
Explanation
\(8 + 2x - x^2 = 0\)
\(8 + 4x - 2x - x^2 = 0\)
4(2 + x) - x(2 + x) = 0
(4 - x)(2 + x) = 0
4 - x = 0 or 2 + x = 0
x = 4 or x =- 2
So, p = 4 and q = -2
∴ p + q = 2
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