GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 Aug 2019, 22:43

### 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

# What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true

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

### Hide Tags

Retired Moderator
Joined: 20 Dec 2010
Posts: 1707
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true  [#permalink]

### Show Tags

29 Oct 2011, 06:33
cdaat wrote:
What is the minimum value of z for which (z^2)+z-(3/4)>0 is not true?

(A) -5/2
(B) -3/2
(C) -1/2
(D) 1/4
(E) 1/2

$$z^2+z-\frac{3}{4}>0$$

$$\frac{4z^2+4z-3}{4}>0$$

$$4z^2+4z-3>0$$

$$4z^2+6z-2z-3>0$$

$$2z(2z+3)-(2z+3)>0$$

$$(2z-1)(2z+3)>0$$

Roots:
+1/2, -3/2

Means the equation will be true for:
z>+1/2
z<-3/2

OR, the equation will NOT hold true for

-3/2<=z<=1/2

Minimum of the range= -3/2

Ans: "B"
_________________
Intern
Joined: 16 Feb 2016
Posts: 49
Concentration: Other, Other
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true  [#permalink]

### Show Tags

24 Apr 2016, 23:26
If you don't want spend time solving this, just substitute the numbers.

First sort them in order:
A)
(-5/2)^2+(-5/2)-3/4>0
25/4-10/4-3/4>0
12/4>0 True so A is not the answer

B)
(-3/2)^2+(-3/2)-3/4>0
9/4-6/4-3/4>0
0>0 Not true
B is the answer!
Director
Joined: 23 Jan 2013
Posts: 534
Schools: Cambridge'16
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true  [#permalink]

### Show Tags

06 May 2016, 22:06
What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true?

means that we solve z^2+z-3/4=<0

backsolving gives B
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4541
Location: India
Concentration: Sustainability, Marketing
Schools: INSEAD, HEC '22, IIM
GPA: 4
WE: Marketing (Energy and Utilities)
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true  [#permalink]

### Show Tags

08 Jun 2019, 08:31
cdaat wrote:
What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true?

(A) -5/2
(B) -3/2
(C) -1/2
(D) 1/4
(E) 1/2

simly pluginoptions
for option b we get z^2 + z - 3/4 > 0 as 0
IMO b
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true   [#permalink] 08 Jun 2019, 08:31

Go to page   Previous    1   2   [ 24 posts ]

Display posts from previous: Sort by

# What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne