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M28-13

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M28-13 [#permalink]

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New post 16 Sep 2014, 01:28
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Question Stats:

56% (01:55) correct 44% (01:58) wrong based on 24 sessions

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If \(x^4 = 29x^2 - 100\), then which of the following is NOT a product of three possible values of \(x\)?
I. -50

II. 25

III. 50


A. \(I\) only
B. \(II\) only
C. \(III\) only
D. \(I\) and \(II\) only
E. \(I\) and \(III\) only
[Reveal] Spoiler: OA

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Re M28-13 [#permalink]

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New post 16 Sep 2014, 01:28
Expert's post
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Official Solution:

If \(x^4 = 29x^2 - 100\), then which of the following is NOT a product of three possible values of \(x\)?
I. -50

II. 25

III. 50


A. \(I\) only
B. \(II\) only
C. \(III\) only
D. \(I\) and \(II\) only
E. \(I\) and \(III\) only


Re-arrange and factor for \(x^2\): \((x^2-25)(x^2-4)=0\).

So, we have that \(x=5\), \(x=-5\), \(x=2\), or \(x=-2\).

\(-50=5*(-5)*2\);.

\(50=5*(-5)*(-2)\);

Only 25 is NOT a product of three possible values of \(x\)


Answer: B
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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re M28-13 [#permalink]

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New post 17 Feb 2015, 13:25
I think this question is poor.
it is 29 in the question ,but factoring shows 25!!!

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Re: M28-13 [#permalink]

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New post 17 Feb 2015, 13:29

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Re M28-13 [#permalink]

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New post 22 Aug 2017, 12:25
I think this is a high-quality question and I agree with explanation.

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Re M28-13   [#permalink] 22 Aug 2017, 12:25
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