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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Easy

x+2x-5x+9=0

What is a positive solution to the given equation?

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Explanation

Choice C is correct. Applying the zero product property to the given equation yields three equations: x + 2 = 0 , x - 5 = 0 , and x + 9 = 0 . Subtracting 2 from both sides of the equation x + 2 = 0 yields x = -2 . Adding 5 to both sides of the equation x - 5 = 0 yields x = 5 . Subtracting 9 from both sides of the equation x + 9 = 0 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.