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# x2 – 2xy + y2 = 0 and y =

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

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x2 – 2xy + y2 = 0 and y = [#permalink]  15 Apr 2018, 04:45
Expert's post
00:00

Question Stats:

87% (00:56) correct 12% (00:00) wrong based on 8 sessions
$$x^2 - 2xy + y^2 = 0$$ 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.

Drill 1
Question: 10
Page: 512
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1740 [0], given: 397

Re: x2 – 2xy + y2 = 0 and y = [#permalink]  22 Apr 2018, 12:25
Expert's post
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).
_________________

Sandy
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Re: x2 – 2xy + y2 = 0 and y =   [#permalink] 22 Apr 2018, 12:25
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