Last visit was: 25 Apr 2026, 17:21 It is currently 25 Apr 2026, 17:21
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
itisSheldon
Joined: 03 Mar 2018
Last visit: 26 Jan 2022
Posts: 160
Own Kudos:
687
 [1]
Given Kudos: 101
Posts: 160
Kudos: 687
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
u1983
User avatar
Current Student
Joined: 24 Aug 2016
Last visit: 06 Jun 2021
Posts: 700
Own Kudos:
Given Kudos: 97
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Products:
GMAT 2: 680 Q49 V33
Posts: 700
Kudos: 873
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
push12345
Joined: 02 Oct 2017
Last visit: 10 Feb 2019
Posts: 534
Own Kudos:
Given Kudos: 14
Posts: 534
Kudos: 549
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
zishu912
Joined: 31 Jan 2018
Last visit: 02 Nov 2019
Posts: 52
Own Kudos:
Given Kudos: 39
GMAT 1: 700 Q46 V40
GMAT 1: 700 Q46 V40
Posts: 52
Kudos: 35
Kudos
Add Kudos
Bookmarks
Bookmark this Post
itisSheldon
For what value of 'm' will the quadratic equation x^2 - mx + 4 = 0 have real and equal roots?

(A) 16
(B) 8
(C) 2
(D) -4
(E) -2

For the roots to be real and equal, discriminant should be equal to zero

D = b^2 - 4ac = 0 where a is the coefficient of x^2 and c is the constant

From the given equation m^2 - 16 = 0

Therefore m = (+/-) 4
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,712
Kudos
Add Kudos
Bookmarks
Bookmark this Post
itisSheldon
For what value of 'm' will the quadratic equation x^2 - mx + 4 = 0 have real and equal roots?

(A) 16
(B) 8
(C) 2
(D) -4
(E) -2

If m = -4 we have:

x^2 + 4x + 4 = 0

(x + 2)(x + 2) = 0

(x + 2)^2 = 0

x + 2 = 0

x = -2

Answer: D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,986
Own Kudos:
Posts: 38,986
Kudos: 1,118
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109830 posts
Tuck School Moderator
852 posts