[phpBB Debug] PHP Notice: in file /includes/check_new_recommended_questions.php on line 37: Undefined array key "last_recommended_questions_epoch"
[phpBB Debug] PHP Notice: in file /includes/check_new_recommended_questions.php on line 41: Undefined array key "last_recommended_questions_epoch"
If cx - bx^3 = 0 where b and c are non-zero numbers, what is the value : Data Sufficiency (DS)
Last visit was: 20 Jul 2024, 04:55 It is currently 20 Jul 2024, 04:55
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
SORT BY:
Kudos
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94428
Own Kudos [?]: 642475 [11]
Given Kudos: 86669
Send PM
Most Helpful Reply
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Own Kudos [?]: 30840 [5]
Given Kudos: 799
Location: Canada
Send PM
General Discussion
Director
Director
Joined: 14 Dec 2019
Posts: 829
Own Kudos [?]: 910 [2]
Given Kudos: 354
Location: Poland
Concentration: Entrepreneurship, Strategy
GMAT 1: 640 Q49 V27
GMAT 2: 660 Q49 V31
GMAT 3: 720 Q50 V38
GPA: 4
WE:Engineering (Consumer Electronics)
Send PM
Tutor
Joined: 17 Sep 2014
Posts: 1245
Own Kudos [?]: 970 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
Re: If cx - bx^3 = 0 where b and c are non-zero numbers, what is the value [#permalink]
Expert Reply
Bunuel wrote:
If cx - bx^3 = 0 where b and c are non-zero numbers, what is the value of b - c ?

(1) cx = c
(2) bx = b


Statement 1:
Always factor when we have quadratic terms. Here we treat c as a variable, so cx is quadratic and we should pull everything to the left side first.
cx - c = 0, and c*(x - 1) = 0.
Since we can confirm c is not 0, we must have (x - 1) = 0.
This gives us x = 1. Plug in to get c - b = 0, b - c = 0, sufficient.

Statement 2:
Same as above. Sufficient.

Ans: D
GMAT Club Bot
Re: If cx - bx^3 = 0 where b and c are non-zero numbers, what is the value [#permalink]
Moderator:
Math Expert
94428 posts