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

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If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 18 Nov 2009, 20:38
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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: https://gmatclub.com/forum/if-x-4-2-1-2 ... 43886.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Dec 2017, 21:56, edited 3 times in total.
OA added.

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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 18 Nov 2009, 21:40
The question seems to be incomplete. What is equal to 3?

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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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


sorry, just edited it. ^^

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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 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

ANSWER: A. -11

What is the OA?

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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 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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New post 13 May 2011, 04:30
x = -7

=> x-4 = -11

Answer - A
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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 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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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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

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


Answer is A.

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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 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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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 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) \((-11+8)^2 = (-3)^2 = 9\)
A is your answer
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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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New post 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 \(x-4=-11\).

Answer: A.


OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-x-4-2-1-2 ... 43886.html
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Re: If = 3, which of the following could be the value of x – 4?   [#permalink] 25 Dec 2017, 21:56
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If = 3, which of the following could be the value of x – 4?

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