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

It is currently 31 May 2016, 21:19
GMAT Club Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 1601 [0], given: 0

If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ? [#permalink]

Show Tags

New post 17 Dec 2012, 09:12
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (01:50) correct 20% (01:16) wrong based on 545 sessions

HideShow timer Statistics

If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?

(A) -4
(B) -1
(C) 0
(D) 1
(E) 2
[Reveal] Spoiler: OA
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 33106
Followers: 5786

Kudos [?]: 71057 [1] , given: 9857

Re: If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ? [#permalink]

Show Tags

New post 17 Dec 2012, 09:14
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Intern
Intern
avatar
Joined: 26 May 2012
Posts: 21
Concentration: Marketing, Technology
GMAT Date: 09-17-2012
Followers: 1

Kudos [?]: 7 [0], given: 7

Reviews Badge
Re: If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ? [#permalink]

Show Tags

New post 17 Dec 2012, 09:21
Simplify by keeping all the terms on side.
The equation becomes:

(4-x) = x*(2+x)

Now, expand the RHS of the equation:
(4-x) = 2x+x^2

Now, you see you already have a prt of the solution, a +ve x^2, so now, you need to move the LHS of the equation to the RHS and equate to 0:

0 = 2x+x^2-4+x

Simplify this further by adding 2x and x and voila!

x^2+3x-4 = 0

The answer is option C.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9730
Followers: 466

Kudos [?]: 120 [0], given: 0

Premium Member
Re: If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ? [#permalink]

Show Tags

New post 12 Jul 2014, 22:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9730
Followers: 466

Kudos [?]: 120 [0], given: 0

Premium Member
Re: If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ? [#permalink]

Show Tags

New post 29 Aug 2015, 03:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?   [#permalink] 29 Aug 2015, 03:06
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If 4x+2<x2+3x−18<0, where x is an integer, what is the value of |x|+| whitehalo 5 27 Feb 2016, 22:13
7 Experts publish their posts in the topic If (x + 4)(3x + 1) = 3x^2 + x, what is a possible value of x? Bunuel 8 31 Aug 2015, 10:42
12 Experts publish their posts in the topic If 3x – 2y – z = 32 + z and √(3x) - √(2y + 2z) = 4, what is the value Bunuel 5 06 Nov 2014, 08:56
1 Experts publish their posts in the topic If 3 - x = 2x - 3, then 4x = Bunuel 6 14 Jan 2014, 01:12
6 Experts publish their posts in the topic If (4-x)/(2+x)=x, what is the value of x^2+3x-4? feellikequitting 13 29 Oct 2010, 10:41
Display posts from previous: Sort by

If (4 - x)/(2 + x) = x, what is the value of x^2 + 3x -4 ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.