5 x 2 - 37 x - 24 = 0 What is the positive solution to the given equation?

Question

Accepted Answer

Choice C is correct. The left-hand side of the given equation can be factored as 5 x + 3 x - 8 . Therefore, the given equation, 5 x 2 - 37 x - 24 = 0 , can be written as 5 x + 3 x - 8 = 0 . Applying the zero product property to this equation yields 5 x + 3 = 0 and x - 8 = 0 . Subtracting 3 from both sides of the equation 5 x + 3 = 0 yields 5 x = - 3 . Dividing both sides of this equation by 5 yields x = - 3 5 . Adding 8 to both sides of the equation x - 8 = 0 yields x = 8 . Therefore, the two solutions to the given equation, 5 x 2 - 37 x - 24 = 0 , are - 3 5 and 8 . It follows that 8 is the positive solution to the given equation. 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.

Question 36a520