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What are the values of x that satisfy
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26 Apr 2021, 12:44

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Question Stats:

What are the values of x that satisfy the equation \(|x^2-x+1|=2x-1\)

Select all that apply

A. x=-1

B. x=1

C. x=3

D. x=2

E. x=-3

Kudos for the right answer and explanation

Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION

GRE - Math Book

Select all that apply

A. x=-1

B. x=1

C. x=3

D. x=2

E. x=-3

Kudos for the right answer and explanation

Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION

GRE - Math Book

Re: What are the values of x that satisfy
[#permalink]
26 Apr 2021, 21:47

2

only 1 and 2 values satisfy both sides of the equation, thus the answer should be B and D

Re: What are the values of x that satisfy
[#permalink]
27 Apr 2021, 05:49

1

If someone is geek like me who loves to solve equations, then there will be 2 equations after removing modulus:-

x^2-x+1 = 2x-1 and x^2-x+1 = -2x+1

Solving these

we will get x=1,-1,2,0

Hence, A B and D.

x^2-x+1 = 2x-1 and x^2-x+1 = -2x+1

Solving these

we will get x=1,-1,2,0

Hence, A B and D.

Re: What are the values of x that satisfy
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24 May 2021, 05:11

When x^2-x+1 = -(2x-1) we assume that x^2-x+1<0 that is why we put a negative sign for opening the mod function.

On solving above equations we get x=0,-1 on putting in equation x^2-x+1 we get 1 for x=0 and 3 for x=-1 both >0 so we have to discard those answers.

On solving above equations we get x=0,-1 on putting in equation x^2-x+1 we get 1 for x=0 and 3 for x=-1 both >0 so we have to discard those answers.

Re: What are the values of x that satisfy
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04 Aug 2023, 09:43

Hello from the GRE Prep Club BumpBot!

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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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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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