It is currently 21 Oct 2017, 18:44

### 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

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

Author Message
TAGS:

### Hide Tags

Director
Joined: 28 Jul 2011
Posts: 521

Kudos [?]: 298 [0], given: 16

Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
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, 04:53
These kind of questions need to be solved from substituting options and i got the answer A
_________________

Kudos [?]: 298 [0], given: 16

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1964

Kudos [?]: 2054 [0], given: 376

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"
_________________

Kudos [?]: 2054 [0], given: 376

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16587

Kudos [?]: 273 [0], given: 0

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

### Show Tags

08 Aug 2015, 06:03
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.
_________________

Kudos [?]: 273 [0], given: 0

Manager
Joined: 16 Feb 2016
Posts: 53

Kudos [?]: 20 [0], given: 26

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

Kudos [?]: 20 [0], given: 26

Director
Joined: 23 Jan 2013
Posts: 601

Kudos [?]: 22 [0], given: 41

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

Kudos [?]: 22 [0], given: 41

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

Go to page   Previous    1   2   [ 25 posts ]

Display posts from previous: Sort by