Question 38-x-2

2.2 Nonlinear Equations in One Variable - Quadratic solving (factoring, quadratic formula, completing square)
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38x2=389

What is the negative solution to the given equation?

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38 x 2 = 38 9 What is the negative solution to the given equation?

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

The correct answer is -3 . Dividing both sides of the given equation by 38 yields x 2 = 9 . Taking the square root of both sides of this equation yields the solutions x = 3 and x = -3 . Therefore, the negative solution to the given equation is -3 .