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Math Expert V
Joined: 02 Sep 2009
Posts: 56304
If x^2 – 4x = 5, then one possible value of x – 4 =  [#permalink]

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2
4 00:00

Difficulty:   15% (low)

Question Stats: 81% (01:04) correct 19% (01:05) wrong based on 204 sessions

### HideShow timer Statistics If x^2 – 4x = 5, then one possible value of x – 4 =

A. -9
B. -5
C. -3
D. -1
E. 5

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CEO  V
Joined: 12 Sep 2015
Posts: 3853
Re: If x^2 – 4x = 5, then one possible value of x – 4 =  [#permalink]

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1
Bunuel wrote:
If x^2 – 4x = 5, then one possible value of x – 4 =

A. -9
B. -5
C. -3
D. -1
E. 5

x^2 – 4x = 5
Rearrange to get: x^2 – 4x - 5 = 0
Factor: (x - 5)(x + 1) = 0
So, either x = 5 or x = -1

If x = 5, then x - 4 = 5 - 4 = 1 [not among the answer choices]
If x = -1, then x - 4 = (-1) - 4 = -5. Great!

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CEO  D
Status: GMATINSIGHT Tutor
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Re: If x^2 – 4x = 5, then one possible value of x – 4 =  [#permalink]

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Bunuel wrote:
If x^2 – 4x = 5, then one possible value of x – 4 =

A. -9
B. -5
C. -3
D. -1
E. 5

x^2 – 4x = 5

i.e. x^2 – 4x - 5 = 0

i.e. x^2 – 5x + x - 5 = 0

i.e. (x-5)(x+1) = 0
i.e. x = 5 or -1

i.e. x-4 = 5-4 or -1-4

i.e. x-4 = 1 or -5

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Intern  Joined: 09 Jul 2018
Posts: 5
Re: If x^2 – 4x = 5, then one possible value of x – 4 =  [#permalink]

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x^2 - 4x -5 = 0
x^2 - 5x + 1x - 5 = 0
x(x-5) + 1(x-5) = 0
(x-5)(x+1)=0
x = 5
or x = -1

Therefore,
x-4 = 5-4 = 1
or x-4 = -1-4 = -5
Since only -5 is in the options, it is the correct answer Re: If x^2 – 4x = 5, then one possible value of x – 4 =   [#permalink] 22 Jul 2018, 06:39
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