Question 3-x-x-

2.2 Nonlinear Equations in One Variable - Quadratic solving (factoring, quadratic formula, completing square)
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3xx-4x+5=0

What is one of the solutions to the given equation?

A.

-4

B.

0

C.

3

D.

5

3 x x - 4 x + 5 = 0 What is one of the solutions

Hard-difficulty · SAT Math · Nonlinear Equations in One Variable — Quadratic solving (factoring, quadratic formula, completing square). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. Applying the zero product property to the given equation yields 3 x = 0 , x - 4 = 0 , and x + 5 = 0 . Dividing each side of the equation 3 x = 0 by 3 yields x = 0 . Adding 4 to each side of the equation x - 4 = 0 yields x = 4 . Subtracting 5 from each side of the equation x + 5 = 0 yields x = - 5 . Therefore, the solutions to the given equation are 0 , 4 , and - 5 . Thus, one of the solutions to the given equation is 0 .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.