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# If x0 and ,x=sq. root of (4xy-4y^2) then, in terms of y,

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Manager
Joined: 05 Sep 2007
Posts: 144
Location: New York
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If x0 and ,x=sq. root of (4xy-4y^2) then, in terms of y,  [#permalink]  11 Mar 2008, 17:54
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100% (01:47) correct 0% (00:00) wrong based on 4 sessions
If x≠0 and ,x=sq. root of (4xy-4y^2) then, in terms of y, x=?
(A) 2y
(B) y
(C)
(D)
(E) –2y
Senior Manager
Joined: 15 Aug 2007
Posts: 252
Schools: Chicago Booth
Followers: 1

Kudos [?]: 56 [0], given: 0

Re: PS: X,Y [#permalink]  11 Mar 2008, 18:56
A

Square on both sides and the equation becomes (x-2y)^2=0 => x=2y
Director
Joined: 14 Aug 2007
Posts: 734
Followers: 8

Kudos [?]: 123 [0], given: 0

Re: PS: X,Y [#permalink]  11 Mar 2008, 19:23
el1981 wrote:
If x≠0 and ,x=sq. root of (4xy-4y^2) then, in terms of y, x=?
(A) 2y
(B) y
(C)
(D)
(E) –2y

A. results in x^2-4xy+4y^2=0 => (x-2y)^2 = 0 => x = 2y
CEO
Joined: 29 Mar 2007
Posts: 2585
Followers: 17

Kudos [?]: 243 [1] , given: 0

Re: PS: X,Y [#permalink]  11 Mar 2008, 19:52
1
KUDOS
el1981 wrote:
If x≠0 and ,x=sq. root of (4xy-4y^2) then, in terms of y, x=?
(A) 2y
(B) y
(C)
(D)
(E) –2y

x=sqrt(4xy-4y^2) --> x^2=4xy-4y^2 --> x^2-4xy+4y^2=0 --> (x-2y)(x-2y)=0

x=2y

A
Re: PS: X,Y   [#permalink] 11 Mar 2008, 19:52
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