(x+2)(x−5)(x+9) = 0 What is a positive solution to the given equation?
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice C is correct. Applying the zero product property to the given equation +2=0 -5=0 +9=0 yields three equations: x , x , and x . Subtracting 2 from both +2=0 =- sides of the equation x yields x 2. Adding 5 to both sides of the -5=0 = equation x yields x 5. Subtracting 9 from both sides of the equation +9=0 =- - x yields x 9. Therefore, the solutions to the given equation are 2, 5, - and 9. It follows that a positive solution to the given equation is 5. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.
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