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:

Re: Does the equation y = (x – p)(x – q) intercept the x-axis at [#permalink]
10 Jun 2012, 01:13

1

This post received KUDOS

Expert's post

Does the equation y = (x – p)(x – q) intercept the x-axis at the point (2,0)?

x-intercepts of the graph \(y=(x-p)(x-q)\) is the values of \(x\) for which \((x-p)(x-q)=0\). So, the x-intercepts are \((p, 0)\) and \((q, 0)\). The question basically asks whether either \(p\) or \(q\) equals 2.

(1) pq = -8. Not sufficient to say whether p or q equals 2.

(2) -2 – p = q. Not sufficient to say whether p or q equals 2.

(1)+(2) Solving \(pq=-8\) and \(-2-p=q\) gives us that either \(p=-4\) and \(q=2\) OR \(p=2\) and \(q=-4\). In ether case one of the unknowns is 2, so \(y=(x-p)(x-q)\) intercepts the x-axis at the point (2,0). Sufficient.

Re: Does the equation y = (x – p)(x – q) intercept the x-axis at [#permalink]
10 Jun 2012, 01:15

1

This post received KUDOS

Bunuel wrote:

Does the equation y = (x – p)(x – q) intercept the x-axis at the point (2,0)?

x-intercepts of the graph \(y=(x-p)(x-q)\) is the values of \(x\) for which \((x-p)(x-q)=0\). So, the x-intercepts are \((p, 0)\) and \((q, 0)\). The question basically asks whether either \(p\) or \(q\) equals 2.

(1) pq = -8. Not sufficient to say whether p or q equals 2.

(2) -2 – p = q. Not sufficient to say whether p or q equals 2.

(1)+(2) Solving \(pq=-8\) and \(-2-p=q\) gives us that either \(p=-4\) and \(q=2\) OR \(p=2\) and \(q=-4\). In ether case one of the unknowns is 2, so \(y=(x-p)(x-q)\) intercepts the x-axis at the point (2,0). Sufficient.

Answer: C.

Hope it's clear.

Damn, you're good! Was my approach right at all? Sometimes I wish a had an identical twin who could just get a 50 on my Quant section for me while I do the Verbal section, haha.

Does the equation y = (x – p)(x – q) intercept the x-axis at the [#permalink]
13 Jan 2013, 11:30

C.

If y = 0,

this reduces to a quadratic equation. sum of roots = 2, product of roots = -8. Thus the roots are 4 and -2. Line passes through (4,0) and (-2,0) Hence the answer is NO _________________

Re: Does the equation y = (x – p)(x – q) intercept the x-axis at [#permalink]
27 Jan 2014, 17:23

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Can you teach businessmen to be ethical? : he mind is divided into two parts that sometimes conflict, like a small rider sitting on the back of a very...

HBS: Reimagining Capitalism: Business and Big Problems : Growing income inequality, poor or declining educational systems, unequal access to affordable health care and the fear of continuing economic distress...

Over the last week my Facebook wall has been flooded with most positive, almost euphoric emotions: “End of a fantastic school year”, “What a life-changing year it’s been”, “My...