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Which of the following expressions CANNOT be equal to 0 when x^2 − 2x
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02 Mar 2021, 09:09
02 Mar 2021, 09:09
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Which of the following expressions CANNOT be equal to 0 when \(x^2 − 2x = 3\)?
A. \(x^2 − 6x + 9\)
B. \(x^2 − 4x + 3\)
C. \(x^2 − x − 2\)
D. \(x^2 − 7x + 6\)
E. \(x^2 − 9\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(x^2 − 6x + 9\)
B. \(x^2 − 4x + 3\)
C. \(x^2 − x − 2\)
D. \(x^2 − 7x + 6\)
E. \(x^2 − 9\)
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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Re: Which of the following expressions CANNOT be equal to 0 when x^2 − 2x
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02 Mar 2021, 09:51
02 Mar 2021, 09:51
4
Carcass wrote:
Which of the following expressions CANNOT be equal to 0 when \(x^2 − 2x = 3\)?
A. \(x^2 − 6x + 9\)
B. \(x^2 − 4x + 3\)
C. \(x^2 − x − 2\)
D. \(x^2 − 7x + 6\)
E. \(x^2 − 9\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(x^2 − 6x + 9\)
B. \(x^2 − 4x + 3\)
C. \(x^2 − x − 2\)
D. \(x^2 − 7x + 6\)
E. \(x^2 − 9\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
x^2 − 2x = 3
Rearrange to get: x^2 − 2x - 3 = 0
Factor: (x - 3)(x + 1) = 0
Conclusion: EITHER (x - 3) = 0 OR (x + 1) = 0
The correct answer will be the one in which we CANNOT draw either of these conclusions.
IMPORTANT: To answer this question, we must start checking each answer choice. Given that most people start with A and work their way down, where is the sneakiest place to place the correct answer? Near the bottom. So, in these cases, I suggest that you start with E and work your way UP.
E. Can x^2 − 9 = 0?
Factor to get (x + 3)(x - 3) = 0
So, (x + 3) = 0 or (x - 3) = 0
ELIMINATE E
D. Can x^2 − 7x + 6 = 0
Factor to get (x - 1)(x - 6) = 0
So, (x - 1) = 0 or (x - 6) = 0
Since we cannot conclude that (x - 3) = 0 or (x + 1) = 0, the correct answer must be D
Cheers,
Brent
Re: Which of the following expressions CANNOT be equal to 0 when x^2 2x
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07 Feb 2024, 14:44
07 Feb 2024, 14:44
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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