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

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Carcass
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If x^2 – 4x = 5, then one possible value of x – 4 = [#permalink] New post   02 Mar 2021, 09:07
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If x^2 – 4x = 5, then one possible value of x – 4 =

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

Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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B
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Re: If x^2 – 4x = 5, then one possible value of x – 4 = [#permalink] New post   02 Mar 2021, 09:19
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x^2 – 4x = 5

x^2 – 4x - 5 = 0

(X-5)(x+1) = 0

x = 5 OR -1

x-4 can be 5-4 = 1 & -1-4 = -5

Answer B
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Re: If x^2 – 4x = 5, then one possible value of x – 4 = [#permalink] New post   02 Mar 2021, 09:45
2
Carcass wrote:
If x^2 – 4x = 5, then one possible value of x – 4 =

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

Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book


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!

Answer: B

Cheers,
Brent
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Re: If x^2 – 4x = 5, then one possible value of x – 4 = [#permalink] New post   02 Mar 2021, 23:19
1
Carcass wrote:
If x^2 – 4x = 5, then one possible value of x – 4 =

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


x2−4x=5

x(x−4)=5

(x−4)=5x

One possible value (−1)(−1−4)=5
So, (x−4)=5−1=−5

Hence, option B
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Re: If x^2 4x = 5, then one possible value of x 4 = [#permalink] New post   09 Feb 2024, 14:56
Hello from the GRE Prep Club BumpBot!

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Re: If x^2 4x = 5, then one possible value of x 4 = [#permalink]
09 Feb 2024, 14:56
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