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For what value of x between −4 and 4, inclusive, is the value of x2 −

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Intern
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For what value of x between −4 and 4, inclusive, is the value of x2 −  [#permalink]

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New post 12 Jan 2019, 06:25
For what value of x between −4 and 4, inclusive, is the value of x2 − 10x + 16 the greatest?
(A) −4 (B) −2 (C) 0 (D) 2 (E) 4
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Re: For what value of x between −4 and 4, inclusive, is the value of x2 −  [#permalink]

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New post 12 Jan 2019, 06:45
The answer should be A
You can create facors (x-8)(x-2)
substitute x= -12*-6= 96
or simple the value of
\(x^2\) − 10x + 16 will be max when all terms are positive.
so we are left with -4 and -2 from choices
-4 will yield better results.
Hence ans A
Can you put this in a better format. Follow thsi to post your result
http://gmatclub.com/forum/11-rules-for- ... 33935.html
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Re: For what value of x between −4 and 4, inclusive, is the value of x2 −  [#permalink]

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New post 12 Jan 2019, 07:48
Nums99 wrote:
For what value of x between −4 and 4, inclusive, is the value of x2 − 10x + 16 the greatest?
(A) −4 (B) −2 (C) 0 (D) 2 (E) 4


For such questions, put in the values given in solution into the given equation- \(x^2\)-10x+16

Option (1) putting in -4 will give 72
Option (2) putting in -2 will give 40
Option (3) putting in 0 will give 16
Option (4) putting in 2 will give 0
Option (5) putting in 4 will give 8

the greatest number obtained is in option A (72) when x=-4

Hope it helps!
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Re: For what value of x between −4 and 4, inclusive, is the value of x2 −  [#permalink]

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New post 12 Jan 2019, 11:59
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Hi Nums99,

For future reference, you should post your subject-specific questions in their respective sub-forums. For example, the PS Forum can be found here:

https://gmatclub.com/forum/problem-solving-ps-140/

In addition, there's a pretty good chance that many of the practice questions that you might be interested in have already been posted, so you can search them out (for example, through Google). Here is a post discussing the question you are asking about:

https://gmatclub.com/forum/for-what-val ... 11639.html

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Re: For what value of x between −4 and 4, inclusive, is the value of x2 − &nbs [#permalink] 12 Jan 2019, 11:59
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