Question x-2-25

2.2 Nonlinear Equations in One Variable - Radical equations
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x225=36

What is a solution to the given equation?

A.

6

B.

30

C.

450

D.

900

x 2 25 = 36 What is a solution to the given equation?

Medium-difficulty · SAT Math · Nonlinear Equations in One Variable — Radical equations. 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. Multiplying the left- and right-hand sides of the given equation by 25 yields x2=900. Taking the square root of the left- and right-hand sides of this equation yields x=30 or x=-30. Of these two solutions, only 30 is given as a choice.

Choice A is incorrect. This is a solution to the equation x2=36.

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

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