Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 May 2015, 05:00

### 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.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If the equation k(6x^2 + 3) + rx + (2x^2 - 1) = 0 and

Author Message
TAGS:
Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

If the equation k(6x^2 + 3) + rx + (2x^2 - 1) = 0 and [#permalink]  26 Jan 2004, 17:22
If the equation k(6x^2 + 3) + rx + (2x^2 - 1) = 0
and 6k(2x^2 + 1) + px + (4x^2 - 2) = 0 have both the roots common, find the value of (2r - p).
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

SVP
Joined: 30 Oct 2003
Posts: 1797
Location: NewJersey USA
Followers: 5

Kudos [?]: 41 [0], given: 0

got 0

Roots for first eq
(-r (+or-) sqrt( r^2 -4(3k-1)(6k+2) ) )/ 2*(6k+2)
Roots of seconf eq
(-p/2 (+or-) sqrt( p^2/4 -4(3k-1)(6k+2) ) )/ 2*(6k+2)

-r = -p/2 and r^2 = p^2/4
so r = p/2
2r-p = 0
Manager
Joined: 11 Oct 2003
Posts: 102
Location: USA
Followers: 1

Kudos [?]: 0 [0], given: 0

Parallel equations.. [#permalink]  29 Jan 2004, 12:39
k(6x^2 + 3) + rx + (2x^2 - 1) = 0 (a)

=> 3k(2x^2+1)+rx+(2x^2 - 1) = 0 (b)

6k(2x^2 + 1) + px + (4x^2 - 2) = 0 (c)

=> 6k(2x^2+1)+px+2(2x^2 - 1) = 0 (d)

Clearly from above, 2(b) = (d), => 2r = p
Parallel equations..   [#permalink] 29 Jan 2004, 12:39
Similar topics Replies Last post
Similar
Topics:
Is x negative? 1) x^3(1-x^2) < 0 2) x^2 - 1 < 0 2 08 Jun 2009, 22:24
Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0 3 10 Oct 2006, 12:31
Is x negative ? (1) n^3(1-x^2) > 0 (2) x^2 - 1 > 0 6 06 Mar 2006, 13:53
Is x negative ? (1) n^3(1-x^2)<0 (2) x^2-1<0 8 14 Sep 2005, 08:12
Is x negative ? (1) n3 (1-X2) < 0 (2) X2 - 1 < 0 9 24 Jul 2005, 08:17
Display posts from previous: Sort by