value of x

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Wed Feb 15, 2012 4:07 am

klaud wrote:

Multiplying both sides by xÂ² - 4, we get
xÂ² + 4x + 4 = 3xÂ² - 12
2xÂ² - 4x - 16 = 0
xÂ² - 2x - 8 = 0
xÂ² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x + 2 = 0, x - 4 = 0
[spoiler]x = -2, 4[/spoiler]

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ubhanja: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Sun Oct 30, 2011 6:52 pm

by ubhanja » Wed Feb 15, 2012 9:54 am

X has to be 4.
(X+2)^2/x^2-4=>(X+2)^2/(x-2)(x+2)=>
x+2/x-2=3

X has to be 4 ONLY

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