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# What is the value of x?

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 2449
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Kudos [?]: 3162 [1] , given: 38

What is the value of x? [#permalink]  11 Feb 2013, 11:25
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Difficulty:

35% (medium)

Question Stats:

73% (02:44) correct 27% (01:45) wrong based on 104 sessions
What is the value of x?

Statement #1: $$(x^2+3)^2 - 11(x^2+3) + 28 = 0$$

Statement #2: $$x^2 + x - 2 = 0$$

For more discussion about simplifying complex expressions, such as those found in Statement #1, as well as a full solution of this DS, please see:
http://magoosh.com/gmat/2013/simplifyin ... -the-gmat/

Mike
[Reveal] Spoiler: OA

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Mike McGarry
Magoosh Test Prep

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Kudos [?]: 3741 [0], given: 727

Re: What is the value of x? [#permalink]  11 Feb 2013, 11:49
Expert's post
Here as soon as you see that you can't find a precise value (the 1# has $$x^4$$ the 2# has $$x^2$$) even combined the 2 stats the answer is clearly E

Regards Mike
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Kudos [?]: 39 [0], given: 0

Re: What is the value of x? [#permalink]  11 Feb 2013, 18:29
Statement #1: Reduces to (x^4 -1)(x^2-1) = 0 Since we have multiple values for x insufficient.
Statement #2: Reduces to (x+2)(x-1) = 0. Again multiple values insufficient.

Combined statements also leave you with multiple values of x.

Re: What is the value of x?   [#permalink] 11 Feb 2013, 18:29
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