Last visit was: 18 Nov 2025, 17:17 It is currently 18 Nov 2025, 17:17
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
Reni
Joined: 24 May 2014
Last visit: 01 Feb 2016
Posts: 13
Own Kudos:
854
 [78]
Given Kudos: 6
Location: Brazil
Posts: 13
Kudos: 854
 [78]
1
Kudos
Add Kudos
76
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Nov 2025
Posts: 105,355
Own Kudos:
Given Kudos: 99,964
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,355
Kudos: 778,072
 [13]
6
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Nov 2025
Posts: 105,355
Own Kudos:
Given Kudos: 99,964
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,355
Kudos: 778,072
 [12]
4
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
General Discussion
User avatar
VivekSri
Joined: 01 May 2022
Last visit: 17 Nov 2025
Posts: 468
Own Kudos:
721
 [1]
Given Kudos: 117
Location: India
WE:Engineering (Consulting)
Posts: 468
Kudos: 721
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yrozenblum
If \(x^2 + \frac{1}{x^2} = 4\), what is the value of \(x^4 + \frac{1}{x^4}\)?

A. 2
B. 4
C. 6
D. 14
E. 16

Remember you can solve the question just by squaring both side and subtract -2

Will correspond to 14

Posted from my mobile device
User avatar
gmatophobia
User avatar
Quant Chat Moderator
Joined: 22 Dec 2016
Last visit: 18 Nov 2025
Posts: 3,170
Own Kudos:
Given Kudos: 1,861
Location: India
Concentration: Strategy, Leadership
Posts: 3,170
Kudos: 10,413
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yrozenblum
If \(x^2 + \frac{1}{x^2} = 4\), what is the value of \(x^4 + \frac{1}{x^4}\)?

A. 2
B. 4
C. 6
D. 14
E. 16

\(x^2 + \frac{1}{x^2} = 4\)

Squaring both sides we get

\((x^2)^2 + (\frac{1}{x^2})^2 + 2*x^2*\frac{1}{x^2} = (4)^2\)

\(x^4 + \frac{1}{x^4} + 2 = 16\)

\(x^4 + \frac{1}{x^4} = 16 - 2 = 14\)

Option D
User avatar
DanTheGMATMan
Joined: 02 Oct 2015
Last visit: 18 Nov 2025
Posts: 378
Own Kudos:
Given Kudos: 9
Expert
Expert reply
Posts: 378
Kudos: 226
Kudos
Add Kudos
Bookmarks
Bookmark this Post
­Classic (x + y)^2 recognition:

­
User avatar
Orange2020
Joined: 19 Sep 2019
Last visit: 18 Nov 2025
Posts: 8
Given Kudos: 80
Products:
Posts: 8
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Moderators:
Math Expert
105355 posts
Tuck School Moderator
805 posts