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Which of the following equations is not equivalent to 36y^2

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Which of the following equations is not equivalent to 36y^2 [#permalink] New post 17 Oct 2017, 22:30
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Which of the following equations is not equivalent to \(36y^2 + 9 = x^2\)?


(A) \(36y^2 = x^2 - 9\)

(B) \(36y^2 = (x - 3)(x + 3)\)

(C) \(108y^2 + 27 = 3x^2\)

(D) \(y^2 = \frac{x^2 - 9}{36}\)

(E) \(6y = x - 3\)


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Re: Which of the following equations is not equivalent to 36y^2 [#permalink] New post 18 Oct 2017, 05:38
Let's analyze choice by choice

(A) \(36y^2 = x^2 - 9\) --> this is the same after adding -9 to both sides

(B) \(36y^2 = (x - 3)(x + 3)\) --> this is the same after rewriting x^2-9 = (x-3)(x+3)

(C) \(108y^2 + 27 = 3x^2\) --> this is the same after multiplying both sides by 3

(D) \(y^2 = \frac{x^2 - 9}{36}\) -> this is the same after adding -9 to both sides and dividing both sides by 36

(E) \(6y = x - 3\)

Thus, we are left with E, which is our answer!
Re: Which of the following equations is not equivalent to 36y^2   [#permalink] 18 Oct 2017, 05:38
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Which of the following equations is not equivalent to 36y^2

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