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# What is X

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Manager
Joined: 29 May 2008
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17 Sep 2009, 09:35
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(2/(x-2)) - (4/x) =1/2x
Senior Manager
Joined: 23 Jun 2009
Posts: 361
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 5

Kudos [?]: 130 [0], given: 80

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17 Sep 2009, 11:27
TheRob wrote:
(2/(x-2)) - (4/x) =1/2x

$${2/(x-2)} - 4/x = 1/2x$$
$$2.2x.-4.2.(x-2)=x-2$$
$$4x-8x+16=x-2$$
$$-4x+16=x-2$$
$$5x=18$$
$$x=3,6$$
Manager
Joined: 27 Oct 2008
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19 Sep 2009, 05:42
(2/(x-2)) - (4/x) =1/2x

Soln: taking 4/x to other side and finding common denominator as 2x
=> (2/(x-2)) = (1+8)/2x
=> 4x = 9x - 18
=> 5x = 18
=> x = 18/5
Re: What is X   [#permalink] 19 Sep 2009, 05:42
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