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

 It is currently 15 Dec 2018, 11:34

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

December 16, 2018

December 16, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

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

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 20 Dec 2010
Posts: 1820
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, 05:33
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"
_________________
Manager
Joined: 16 Feb 2016
Posts: 52
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, 22:26
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
Director
Joined: 23 Jan 2013
Posts: 568
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, 21:06
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
Non-Human User
Joined: 09 Sep 2013
Posts: 9163
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true  [#permalink]

### Show Tags

06 Aug 2018, 05:06
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.
_________________
Re: What is the minimum value of z for which z^2 + z - 3/4 > 0 is not true &nbs [#permalink] 06 Aug 2018, 05:06

Go to page   Previous    1   2   [ 24 posts ]

Display posts from previous: Sort by