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

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

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18 Nov 2009, 21:38
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77% (01:43) correct 23% (00:26) wrong based on 34 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

Last edited by kairoshan on 19 Nov 2009, 06:28, edited 1 time in total.
Manager
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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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18 Nov 2009, 22:40
The question seems to be incomplete. What is equal to 3?
Manager
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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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19 Nov 2009, 06:29
Acc3ss wrote:
The question seems to be incomplete. What is equal to 3?

sorry, just edited it. ^^
Manager
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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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19 Nov 2009, 08:47
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
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Re: If = 3, which of the following could be the value of x – 4? [#permalink]

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20 Nov 2009, 07:32
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, 05:30
x = -7

=> x-4 = -11

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Manager
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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, 13:03
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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13 May 2011, 20:43
x =-1 or -7

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

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

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16 May 2011, 11:33
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.
Re: If = 3, which of the following could be the value of x – 4?   [#permalink] 16 May 2011, 11:33
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