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Nonlinear equations in one variable and systems of equations in two variables SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

$\frac{x ^{2}}{25} = 36$

What is a solution to the given equation?

ExplanationShow

Choice B is correct. Multiplying the left- and right-hand sides of the given equation by $25$ yields $x^{2} = 900$ . 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 $x^{2} = 36$ .

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

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

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Nonlinear equations in one variable and systems of equations in two variables SAT question

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