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27 Oct 2010, 12:12
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
50% (01:34) correct
50%
(02:15)
wrong
based on 14
sessions
History
Date
Time
Result
Not Attempted Yet
What are the unique values of b and c in the equation 4x^2 + bx + c = 0 if one of the roots of the equation is (-1/2) ?
I. The second root is 1/2
II. The ratio of c and b is 1
I. The second root is 1/2
II. The ratio of c and b is 1
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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27 Oct 2010, 14:23
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zerotoinfinite2006
What is the source of this question ? The two statements are contradictory which is not possible on a GMAT question :
From I : The roots are +1/2 & -1/2 ... which means b=0 and c=-1 ... Hence b/c=0
From II : b/c=1
chaoswithin
28 Oct 2010, 13:34
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zerotoinfinite2006
Here is my take.
In the question statement, we are given 4x^2 + bx + c = 0 and one of the roots of the equation is (-1/2). This means that the given quadratic formula has to be simplified into one of the following:
(4x + 2)(x + c/2) where b = 2 + 2c
(2x + 1)(2x + c) where b = 2 + 2c
(x + 1/2)(4x + 2c) where b = 2 + 2c
therefore we need either b or c to get the unique value of b and c.
Statement I:
if the other root is equal to 1/2 then:
(1/2 + c/2) = 0 so c = -1
(2(1/2) + c) = 0 so c = -1
(4(1/2) + 2c) = 0 so c = -1
and b = 0 so sufficient
Statement II:
b/c = 1 so b = c.
since we know from the question that b = 2 + 2c,
b = 2 + 2b
so b = -2 which is also equal to c
so sufficient.
So D is my final answer.
--== Message from the GMAT Club Team ==--
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THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.
If you would like to discuss this question please re-post it in the respective forum. Thank you!
To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
