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  # DS: X^2+ BX+ C=0,---> R,S are solutions of the
  
  Author Message
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  DS: X^2+ BX+ C=0,---> R,S are solutions of the [#permalink]  07 Sep 2004, 06:24
  00:00
  
  Difficulty:
  
  (N/A)
  
  Question Stats:
  
  0% (00:00) correct 0% (00:00) wrong based on 0 sessions
  DS: X^2+ BX+ C=0,---> R,S are solutions of the equation.Is R* S>0?
  1. B<0
  2. C<0
  Director
  Joined: 20 Jul 2004
  Posts: 593
  Followers: 1
  
  Kudos [?]: 48 [0], given: 0
  
  B.
  
  Since R and S are solutions of the equation, the equation can be written as x^2 - (R+S)x + RS = 0
  
  In this case, B = -(R+S) and C = RS.
  From II, C < 0 => RS < 0, Ans to the question: No.
  Joined: 31 Dec 1969
  Location: India
  Concentration: General Management, Strategy
  GMAT 1: 710 Q49 V0
  GMAT 2: 740 Q40 V50
  GMAT 3: 700 Q48 V38
  GPA: 3.6
  Followers: 0
  
  Kudos [?]: 89 [0], given: 87116
  
  For the roots to be real and distinct in a quadratic equation, the determinant b^2-4ac > o
  
  here b = B
  c=C
  a = 1
  
  so, w have B^2 - 4C > 0
  
  Now, 1) B < 0. Doesn't matter as B^2 is always +ve. So we dont know if B^2- 4C will be +ve or not. So insufficient
  
  2) C<0. Sufficient. The B^2 - 4C will be > than 0.
  
  Hence B.
  Director
  Joined: 16 Jun 2004
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  Kudos [?]: 19 [0], given: 0
  
  guest was me..sorry forgot to login earlier.
  Manager
  Joined: 02 Apr 2004
  Posts: 224
  Location: Utrecht
  Followers: 1
  
  Kudos [?]: 13 [0], given: 0
  
  Great work guys!
  
  I took C as answer, while now it is obvious for me as well that B is sufficient. We need to understand the value of C to answer the question.
  
  Regards,
  
  Alex
  Similar topics Replies Last post
  Similar
  Topics:
  5 In the equation x^2+bx+c=0, b and c are constants, and x is 1 06 Mar 2014, 20:26
  43 If r and s are the roots of the equation x^2 + bx + c = 0 27 20 Oct 2012, 11:12
  If equation x^2+bx+c=0 have two same roots, b=? (1) c=9 (2) 2 21 Jun 2008, 18:16
  How many integers can let x^2+bx+c=0? B and c are constants. 2 18 Aug 2006, 22:33
  x^2+bx+c=0 b,c are constant integers, how many pairs of 5 06 May 2006, 02:44
  Display posts from previous: Sort by
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Find all School-related info fast with the new School-Specific MBA Forum
  
   It is currently 04 May 2015, 10:49
  
  ### GMAT Club Daily Prep
  
  #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
  
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  # DS: X^2+ BX+ C=0,---> R,S are solutions of the
  
  Author Message
  TAGS:
  Manager
  Joined: 08 Apr 2004
  Posts: 137
  Location: Corea
  Followers: 1
  
  Kudos [?]: 170 [0], given: 0
  
  DS: X^2+ BX+ C=0,---> R,S are solutions of the [#permalink]  07 Sep 2004, 06:24
  00:00
  
  Difficulty:
  
  (N/A)
  
  Question Stats:
  
  0% (00:00) correct 0% (00:00) wrong based on 0 sessions
  DS: X^2+ BX+ C=0,---> R,S are solutions of the equation.Is R* S>0?
  1. B<0
  2. C<0
  Director
  Joined: 20 Jul 2004
  Posts: 593
  Followers: 1
  
  Kudos [?]: 48 [0], given: 0
  
  B.
  
  Since R and S are solutions of the equation, the equation can be written as x^2 - (R+S)x + RS = 0
  
  In this case, B = -(R+S) and C = RS.
  From II, C < 0 => RS < 0, Ans to the question: No.
  Joined: 31 Dec 1969
  Location: India
  Concentration: General Management, Strategy
  GMAT 1: 710 Q49 V0
  GMAT 2: 740 Q40 V50
  GMAT 3: 700 Q48 V38
  GPA: 3.6
  Followers: 0
  
  Kudos [?]: 89 [0], given: 87116
  
  For the roots to be real and distinct in a quadratic equation, the determinant b^2-4ac > o
  
  here b = B
  c=C
  a = 1
  
  so, w have B^2 - 4C > 0
  
  Now, 1) B < 0. Doesn't matter as B^2 is always +ve. So we dont know if B^2- 4C will be +ve or not. So insufficient
  
  2) C<0. Sufficient. The B^2 - 4C will be > than 0.
  
  Hence B.
  Director
  Joined: 16 Jun 2004
  Posts: 893
  Followers: 2
  
  Kudos [?]: 19 [0], given: 0
  
  guest was me..sorry forgot to login earlier.
  Manager
  Joined: 02 Apr 2004
  Posts: 224
  Location: Utrecht
  Followers: 1
  
  Kudos [?]: 13 [0], given: 0
  
  Great work guys!
  
  I took C as answer, while now it is obvious for me as well that B is sufficient. We need to understand the value of C to answer the question.
  
  Regards,
  
  Alex
  Similar topics Replies Last post
  Similar
  Topics:
  5 In the equation x^2+bx+c=0, b and c are constants, and x is 1 06 Mar 2014, 20:26
  43 If r and s are the roots of the equation x^2 + bx + c = 0 27 20 Oct 2012, 11:12
  If equation x^2+bx+c=0 have two same roots, b=? (1) c=9 (2) 2 21 Jun 2008, 18:16
  How many integers can let x^2+bx+c=0? B and c are constants. 2 18 Aug 2006, 22:33
  x^2+bx+c=0 b,c are constant integers, how many pairs of 5 06 May 2006, 02:44
  Display posts from previous: Sort by
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document you provided does not contain a math question or a question and answer. It is a Data Sufficiency (DS) problem from a GMAT context, asking whether the product of the roots (R and S) of a quadratic equation is greater than zero, given certain conditions.
  
  Label: question
  However, since the document is a GMAT DS problem, it is more accurately labeled as:
  
  Label: question-and-answer
  
  Here is the evaluation:
  
  The document presents a Data Sufficiency (DS) problem from the GMAT. The problem is:
  "X^2 + BX + C = 0, where R and S are solutions of the equation. Is R * S > 0?
  1. B < 0
  2. C < 0"
  
  The problem provides a quadratic equation and asks whether the product of its roots (R and S) is greater than zero. It then gives two statements and asks whether either or both statements are sufficient to answer the question.
  
  Label: question-and-answer