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x2 – 2xy + y2 = 0 and y =

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sandy
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x2 – 2xy + y2 = 0 and y = [#permalink] New post   15 Apr 2018, 04:45
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\(x^2 - 2xy + y^2 = 0\) and \(y =\frac{9}{x}\)

Quantity A
Quantity B
\(y\)
\(3\)


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

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D
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sandy
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Re: x2 – 2xy + y2 = 0 and y = [#permalink] New post   22 Apr 2018, 12:25
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Explanation

Factor the quadratic expression to get \((x - y)(x - y) = 0\); \(x - y\) must equal 0, so you know that x = y.

Thus, \(y=\frac{9}{y}\) , \(y^2 = 9\), and \(y = 3\) — eliminate choices (A) and (B)—or –3—eliminate choice (C). The answer is choice (D).
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Re: x2 2xy + y2 = 0 and y = [#permalink] New post   20 Apr 2024, 09:35
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: x2 2xy + y2 = 0 and y = [#permalink]
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