Quadratic Equation

This topic has expert replies
Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Sun Dec 27, 2009 6:02 am

Quadratic Equation

by chdn20 » Thu Mar 18, 2010 12:28 am
Given that (d/4)+(8/d)+3=0, what is d?

Could someone factor using 4d and show there steps? I'm trying to verify my answer but keep coming up with different solutions..


Thanks
Source: — Problem Solving |

User avatar
Legendary Member
Posts: 526
Joined: Sat Feb 21, 2009 11:47 pm
Location: India
Thanked: 68 times
GMAT Score:680

by harshavardhanc » Thu Mar 18, 2010 2:17 am
chdn20 wrote:Given that (d/4)+(8/d)+3=0, what is d?

Could someone factor using 4d and show there steps? I'm trying to verify my answer but keep coming up with different solutions..


Thanks
(d/4)+(8/d)+3=0

=> d^2 + 32 + 12d = 0
=> (d+8)(d+4) = 0
=> d= -8 or -4

:)
Regards,
Harsha

Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Sun Dec 27, 2009 6:02 am

by chdn20 » Thu Mar 18, 2010 3:43 am
Thanks for explaining but could you explain how you got d^2 + 32 + 12d = 0 ??

Thanks again.

User avatar
Legendary Member
Posts: 526
Joined: Sat Feb 21, 2009 11:47 pm
Location: India
Thanked: 68 times
GMAT Score:680

by harshavardhanc » Thu Mar 18, 2010 4:05 am
chdn20 wrote:Thanks for explaining but could you explain how you got d^2 + 32 + 12d = 0 ??

Thanks again.
ok. the fractions that we have are: (d/4), (8/d), and (3/1).

The LCM is 4d. So, multiply (d/4)+(8/d)+3=0 by 4d.

You will get, d^2 + 32 + 12d = 0

hope it is clear now. :)
Regards,
Harsha