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If X does not equal 0, x= (4xy - 4y^2)^(1/2) then in terms

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Joined: 21 Jan 2007
Posts: 2766
Location: New York City
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Kudos [?]: 331 [0], given: 4

If X does not equal 0, x= (4xy - 4y^2)^(1/2) then in terms [#permalink]  23 May 2007, 16:09
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If X does not equal 0, x= (4xy - 4y^2)^(1/2) then in terms of y, x =

how do i solve this algebraically?

x^2 = 4xy - 4y^2
GMAT Club Legend
Joined: 10 Apr 2007
Posts: 4320
Location: Back in Chicago, IL
Schools: Kellogg Alum: Class of 2010
Followers: 81

Kudos [?]: 716 [0], given: 5

Re: PS #17 [#permalink]  23 May 2007, 17:05
bmwhype2 wrote:
If X does not equal 0, x= (4xy - 4y^2)^(1/2) then in terms of y, x =

how do i solve this algebraically?

x^2 = 4xy - 4y^2

x^2 = 4xy - 4y^2

get everything on one side:

0 = x^2 - 4xy + 4y^2

simplify

0 = (x - 2y)^2

sqrt both sides it to eliminate the square on the right since sqrt of 0 = 0

0 = x - 2y

x = 2y
Re: PS #17   [#permalink] 23 May 2007, 17:05
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