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If = 3, which of the following could be the value of x – 4?

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Manager
Joined: 11 Aug 2009
Posts: 89
If = 3, which of the following could be the value of x – 4?  [#permalink]

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Updated on: 25 Dec 2017, 21:56
3
00:00

Difficulty:

45% (medium)

Question Stats:

68% (00:38) correct 32% (00:29) wrong based on 82 sessions

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If $$\sqrt{(x+4)^2} = 3$$, which of the following could be the value of $$x-4$$?

A. -11
B. -7
C. -4
D. -3
E. 5

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-4-2-1-2-3-which-of-the-following-could-be-the-143886.html

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Originally posted by kairoshan on 18 Nov 2009, 20:38.
Last edited by Bunuel on 25 Dec 2017, 21:56, edited 3 times in total.
Manager
Joined: 28 Jul 2009
Posts: 78
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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18 Nov 2009, 21:40
The question seems to be incomplete. What is equal to 3?
Manager
Joined: 11 Aug 2009
Posts: 89
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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19 Nov 2009, 05:29
Acc3ss wrote:
The question seems to be incomplete. What is equal to 3?

sorry, just edited it. ^^
Manager
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Posts: 176
Schools: Sloan '14 (S)
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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19 Nov 2009, 07:47
No worries kairoshan,

\sqrt{((x+4)^2)}=3

Then
x+4=-3 OR x+4=3
x=-7 or -1

-7-4=-11
-1-5=-5

What is the OA?
Intern
Joined: 22 Sep 2009
Posts: 34
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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20 Nov 2009, 06:32
the given expression reduces to
(x+4)^2 - 3^2=0
(x+4+3)(x+4-3)=0
(x-4+11)(x-4+5)=0
x-4=-11 or -5
Ans. A
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Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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13 May 2011, 04:30
x = -7

=> x-4 = -11

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Joined: 28 Mar 2010
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GPA: 3.89
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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13 May 2011, 12:03
Square root of a square is +ve or -ve.

But it is given that Square of a square has +ve value

then how can x+4 = -3 ?????
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Joined: 01 Feb 2011
Posts: 658
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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13 May 2011, 19:43
x =-1 or -7

=>x-4 can be -5 or -11

Intern
Joined: 15 Apr 2011
Posts: 6
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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16 May 2011, 10:33
The equation reduces to:
(x+4)^2 = 3^2

So taking the square root on the RHS we get:
x+4 = +/- 3

Now there are 2 possible values:
x+ 4 = 3 and x+4 = -3

You can directly subtract 8 from both the equations to get the answer:
x-4 = (3-8) and x-4 = (-3-8)

Therefore (x-4) has possible values -5 and -11.
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Joined: 30 Dec 2015
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Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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08 Oct 2016, 13:26
kairoshan wrote:
If $$\sqrt{(x+4)^2} = 3$$, which of the following could be the value of $$x-4$$?

A. -11
B. -7
C. -4
D. -3
E. 5

$$(X+4)^2 = 9$$

$$(X-4+8)^2 = 9$$
let X-4 = A
$$(A+8)^2 = 9$$
Now, sub answer choices in A
A) $$(-11+8)^2 = (-3)^2 = 9$$
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Joined: 02 Sep 2009
Posts: 52327
Re: If = 3, which of the following could be the value of x – 4?  [#permalink]

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25 Dec 2017, 21:56
If $$\sqrt{(x+4)^2} = 3$$, which of the following could be the value of x - 4?

A. -11
B. -7
C. -4
D. -3
E. 5

$$\sqrt{(x+4)^2} = 3$$ --> $$(x+4)^2=9$$ --> $$x+4=3$$ or $$x+4=-3$$ --> $$x=-1$$ or $$x=-7$$ --> $$x-4=-5$$ or $$x-4=-11$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-4-2-1-2-3-which-of-the-following-could-be-the-143886.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: If = 3, which of the following could be the value of x – 4? &nbs [#permalink] 25 Dec 2017, 21:56
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