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The truth set of $8 + 2x - x^2$ = 0 is {p, q}. Evaluate p ...

The truth set of $8 + 2x - x^2$ = 0 is {p, q}. Evaluate p + q.

A.

4

B.

2

C.

-6

D.

-2

View answer & explanation

Correct answer is B

$8 + 2x - x^2 = 0$
$8 + 4x - 2x - x^2 = 0$
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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