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.
Jul 1508:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Jul 1609:30 AM EDT
-11:30 AM EDT
Is INSEAD your dream b-school and you're looking for solid prep and application strategies to get there? Check out Barkavi’s end-to-end journey to know how she did! Get insights into the INSEAD admissions process, know what Adcoms look at, and more!
Jul 1611:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
Jul 0901:00 PM EDT
-02:00 PM EDT
More Target Test Prep students are earning 100th percentile GMAT scores. Don’t settle for less when the Target Test Prep course gives you everything you need to score high on the GMAT. Start your 5-day free trial today.- Jul 14
10:00 AM PDT
-11:59 PM PDT
GMAT Preparation Online - A limited time sale use code: EXPERTSGLOBAL10 
Jul 1911:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
Jul 1911:30 AM EDT
-12:30 PM EDT
Struggling to find the right strategies to score a 99 %ile on GMAT Focus? Riya (GMAT 715) boosted her score by 100-points in just 15 days! Discover how the right mentorship, tailored strategies, and an unwavering mindset can transform your GMAT prep.
Updated on: 25 Oct 2018, 23:27
Originally posted by MathRevolution on 22 Oct 2018, 01:29.
Last edited by MathRevolution on 25 Oct 2018, 23:27, edited 1 time in total.
Last edited by MathRevolution on 25 Oct 2018, 23:27, edited 1 time in total.
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:23) correct
24%
(01:29)
wrong
based on 148
sessions
History
Date
Time
Result
Not Attempted Yet
[Math Revolution GMAT math practice question]
What is the number of roots of the equation \(\frac{(x^3-1)}{(x^2+x+1)}=x\)?
\(A. 1\)
\(B. 2\)
\(C. 3\)
\(D. 4\)
\(E. no solution\)
What is the number of roots of the equation \(\frac{(x^3-1)}{(x^2+x+1)}=x\)?
\(A. 1\)
\(B. 2\)
\(C. 3\)
\(D. 4\)
\(E. no solution\)
22 Oct 2018, 02:24
Kudos
Bookmarks
MathRevolution
[Math Revolution GMAT math practice question]
What is the number of roots of the equation \(\frac{(x^3-1)}{(x^2+x+1)}=x\)?
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. no solution\)
What is the number of roots of the equation \(\frac{(x^3-1)}{(x^2+x+1)}=x\)?
\(A. 0\)
\(B. 1\)
\(C. 2\)
\(D. 3\)
\(E. no solution\)
You know, \(a^3-b^3=(a-b)(a^2+ab+b^2)\)
Factorizing numerator of the given expression(LHS), we have
\(\frac{(x^3-1)}{(x^2+x+1)}=x\)
Or, \(\frac{(x-1)(x^2+x+1)}{(x^2+x+1)}=x\)
Or, x-1=x
Substracting x from both LHS & RHS,
-1=0
Therefore, No Solution.
Ans. (E)
Another approach:-
\(\frac{(x^3-1)}{(x^2+x+1)}=x\)
Or, \((x^3-1)=x(x^2+x+1)\)
Or, \(x^3-1=x^3+x^2+x\)
Or, \(x^3+x^2+x=x^3-1\)
Or, \(x^2+x+1=0\) is a quadratic equation with a=b=c=1
\(D=b^2-4ac=1^2-4*1*1=-3<0\); so no real roots.
Hence, No Solution exists.
Ans. (E)
22 Oct 2018, 04:31
Kudos
Bookmarks
Ans is E as after solving we will get x2+x+1=0 and D is negative for this equation. Hence No real solution is possible.
