It is currently 05 Dec 2023, 17:00 |

Customized

for You

Track

Your Progress

Practice

Pays

- Dec
**05**### Free GRE Prep Hour

07:00 PM EST

-08:00 PM EST

Strategies and techniques for approaching featured GRE topics, 1-hour of live, online instruction - Dec
**06**### Analyzing Essays of M7 Business Schools

07:30 AM PST

-08:30 AM PST

Join Live on GMAT Club's YouTube Channel this Wednesday, December 6th at 7:30 AM PST. - Dec
**06**### Sign up for 1 Week GRE Free Trial

12:00 PM EST

-01:00 PM EST

Free 1-week access to over 20 lesson videos and 20 practice questions. No payment info required. - Dec
**05**### Mastering Harvard, Stanford GSB, Wharton MBA Application Essays

07:30 AM PST

-08:30 AM PST

Join Live on GMAT Club Channel Tuesday, December 5th at 7:30 AM PST| 10:30 AM EST - Dec
**06**### GMAT vs. EA: Which is right for you?

08:00 PM EST

-09:30 PM EST

Join Manhattan Prep instructor Ryan Starr as he explains the key differences among the exams and how business schools view each test—and help you determine which one may be best for you. - Dec
**07**### Get a Top GRE Score with 40 Hours of Live Online Classes

03:00 PM EST

-04:00 PM EST

Are you planning to take the GRE in a few weeks but disappointed with your progress in your GRE prep? Target Test Prep has just the solution: LiveTeach, our powerful, LIVE online classes. - Dec
**08**### Everything About Unsecured Loans to Study Abroad

06:00 PM IST

-07:00 PM IST

8 Dec 2023 18:00 1 hr Don’t have collateral for your study abroad loan? Unsecured loans are your answer! Join the webinar to understand benefits, find top lenders and more.

What are the values of x that satisfy
[#permalink]
26 Apr 2021, 12:44

1

Expert Reply

4

Bookmarks

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
[#permalink]
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
[#permalink]
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).

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.

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.

gmatclubot

Moderators:

Multiple-choice Questions — Select One or More Answer Choices |
||