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What is the value of x?

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Manager
Joined: 15 Dec 2015
Posts: 107

Kudos [?]: 104 [0], given: 68

GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
What is the value of x? [#permalink]

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30 Aug 2017, 17:09
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Difficulty:

85% (hard)

Question Stats:

49% (00:40) correct 51% (01:13) wrong based on 43 sessions

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What is the value of x?

(1) $$\sqrt{x} = x-2$$

(2) x is not equal to 1.
[Reveal] Spoiler: OA

Kudos [?]: 104 [0], given: 68

Math Forum Moderator
Joined: 02 Aug 2009
Posts: 4909

Kudos [?]: 5219 [1], given: 112

Re: What is the value of x? [#permalink]

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30 Aug 2017, 20:12
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DH99 wrote:
What is the value of x?

1. √ x = x-2

2. x is not equal to 1.

Hi..

1) √x=x-2
Square both sides
$$x=x^2-4x+4.....x^2-5x+4=0....x^2-4x-x+4=0.........(x-4)(x-1)=0$$
So x can be 4 or 1..
Substitute in equation and see if values are valid.
A) 2
√4=4-2=2.... Valid
B) 1
√1=1-2=-1..... Not valid
SQUARE Root has to be POSITIVE

Only possible value :- 4
Sufficient

2) X is not 1..
Nothing much.
But only to tempt you to click C....the C trap
Insufficient
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5219 [1], given: 112

Re: What is the value of x?   [#permalink] 30 Aug 2017, 20:12
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