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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Banerjeea, I would appreciate if you could explain your solution.

Second is certainly a pretty straightforward case. However, in case 1, how can you get (only) x=1 from a third degree equation? I think you should have 3 roots for an equation of the third order (unless you've repeated roots, like in the second case). Because if there're other roots too, then we cannot say for sure the value of the expression, because of multiple values of x giving multiple values of the expression.

Furthermore, in arriving at x=1 as a solution, did you simply start with substitution? How did you solve the equation of the third degree? _________________

Banerjeea, I would appreciate if you could explain your solution.

Second is certainly a pretty straightforward case. However, in case 1, how can you get (only) x=1 from a third degree equation? I think you should have 3 roots for an equation of the third order (unless you've repeated roots, like in the second case). Because if there're other roots too, then we cannot say for sure the value of the expression, because of multiple values of x giving multiple values of the expression.

Furthermore, in arriving at x=1 as a solution, did you simply start with substitution? How did you solve the equation of the third degree?

I used substitution for the first one, I didn't solve the third degree eqn. Wud love to know if anyone knows how to solve the 1st eqn using algebra.

Banerjeea, I would appreciate if you could explain your solution.

Second is certainly a pretty straightforward case. However, in case 1, how can you get (only) x=1 from a third degree equation? I think you should have 3 roots for an equation of the third order (unless you've repeated roots, like in the second case). Because if there're other roots too, then we cannot say for sure the value of the expression, because of multiple values of x giving multiple values of the expression.

Furthermore, in arriving at x=1 as a solution, did you simply start with substitution? How did you solve the equation of the third degree?

I used substitution for the first one, I didn't solve the third degree eqn. Wud love to know if anyone knows how to solve the 1st eqn using algebra.

Hmm, but isn't it a bit risky, because you don't know if there're two more roots of the equation, and since you do not know which one to use, that doesn't allow you to get to a unique solution for the expression in question? _________________

How the growth of emerging markets will strain global finance : Emerging economies need access to capital (i.e., finance) in order to fund the projects necessary for...

One question I get a lot from prospective students is what to do in the summer before the MBA program. Like a lot of folks from non traditional backgrounds...