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Difficulty:
25%
(medium)
Question Stats:
70% (01:02) correct
30%
(01:36)
wrong
based on 99
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of x?
(1) \(4x^2- 4x+1=0\)
(2) \(4x^2-1=0\)
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(1) \(4x^2- 4x+1=0\)
(2) \(4x^2-1=0\)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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Bunuel
Target question: What is the value of x?
Statement 1: \(4x^2- 4x+1=0\)
This is a special product so we can factor it as follows: \((2x-1)^2=0\)
So, it must be the case that \(2x-1=0\), which means \(x=0.5\)
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: \(4x^2-1=0\)
This is a difference of squares, so we can factor it as follows: \((2x+1)(2x-1)=0\)
If \((2x+1) = 0\), then \(x=-0.5\)
If \((2x-1) = 0\), then \(x=0.5\)
Snce we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
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