Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Jun 1903:00 AM PDT
-11:00 PM PDT
The Target Test Prep GMAT Flash Sale is LIVE! Get 25% off our game-changing course and save up to $450 today! Use code FLASH25 at checkout. This limited-time deal won’t last long, so grab your discount now!- Jun 19
03:00 AM PDT
-11:00 PM PDT
Get a massive $325 off the TTP OnDemand GMAT masterclass by using the coupon code FLASH25 at checkout. If you prefer learning through engaging video lessons, TTP OnDemand GMAT is exactly what you need. - Jun 20
10:00 AM PDT
-11:00 AM PDT
Class is officially in session! Join Charles Bibilos from GMAT Ninja and GMAC’s own Jaime Malatesta, Senior Psychometrician, as they simplify some of the complexities of GMAT scoring. 
Jun 2211:30 AM EDT
-12:30 PM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Jun 2308:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Jun 2811:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Jun 30
08:00 AM PDT
-11:59 PM PDT
Join us June 30th for 2 weeks of GMAT questions (just 8 per day) to help with your prep and to compete with your fellow GMAT Clubbers for a chance to win a prize fund of $30,000 for you and your team-mates!
16 Sep 2014, 00:48
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
60% (01:28) correct
40%
(01:16)
wrong
based on 167
sessions
History
Date
Time
Result
Not Attempted Yet
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
16 Sep 2014, 00:48
Kudos
Bookmarks
Official Solution:
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
Given: \(||x +2|-2|=2\). Two cases are possible:
1. \(|x +2|=0\). In this case \(x=-2\);
2. \(|x +2|=4\). In this case \(x=2\) or \(x=-6\).
So, the given equation has three roots: -2, 2, and -6.
Answer: D
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
Given: \(||x +2|-2|=2\). Two cases are possible:
1. \(|x +2|=0\). In this case \(x=-2\);
2. \(|x +2|=4\). In this case \(x=2\) or \(x=-6\).
So, the given equation has three roots: -2, 2, and -6.
Answer: D
11 May 2017, 16:43
Kudos
Bookmarks
Bunuel
How many roots does the equation \(|| x +2 | - 2 | = 2\) have?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
Anything inside an absolute value can be positive or negative. You have to test both. Since there are two absolute values here, there are four possibilities for a root. We need to test (inner)(outer) absolute values which will be ++, +-, -+, or --.
(++)
x+2-2 = 2
x = 2 one root
(+-)
-(x+2-2) = 2
-x-2+2 = 2
x = -2 second root
(-+)
-(x+2)-2 = 2
-x-2-2 = 2
x = -6 third root
(--)
-(-(x+2)-2) = 2
x+2+2=2
x=-2 this root was already found
Three roots, which are x={-6,-2,2}. Answer is D
