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What are the values of x that satisfy
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26 Apr 2021, 12:44
26 Apr 2021, 12:44
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22% (01:36) correct
77% (01:36) wrong based on 36 sessions
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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
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26 Apr 2021, 21:47
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
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27 Apr 2021, 05:49
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.
