p and m are positive integers, and p is a prime number. If x : GMAT Quantitative Section
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 03:22

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# p and m are positive integers, and p is a prime number. If x

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Joined: 07 Sep 2013
Posts: 4
Followers: 0

Kudos [?]: 0 [0], given: 0

p and m are positive integers, and p is a prime number. If x [#permalink]

### Show Tags

07 Sep 2013, 09:57
Hi,

Need your guidance for below qq.

p and m are positive integers, and p is a prime number. If x^2-mx+p=0 has a positive interger solution what is the value of (m-p)?

Thanks in advance !!

Last edited by Narenn on 08 Sep 2013, 18:31, edited 1 time in total.
Topic Moved. Always post the topic in relevant forum
MBA Section Director
Status: On vacation...
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 3939
Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 392

Kudos [?]: 2876 [4] , given: 2159

Re: p and m are positive integers, and p is a prime number. If x [#permalink]

### Show Tags

08 Sep 2013, 18:30
4
KUDOS
Expert's post
alokgupta1009 wrote:
Hi,

Need your guidance for below qq.

p and m are positive integers, and p is a prime number. If x^2-mx+p=0 has a positive interger solution what is the value of (m-p)?

Thanks in advance !!

In any quadratic equation $$ax^2 + bx + c = 0$$, the relationship between b and c is that b is the sum of the factors of c*a.

In $$x^2 - mx + p = 0$$, we know -m is the sum of the factors of p, and we also know that p is the prime number that means it has only two factors, p and 1

So -m = -p -1 -------> m - p = 1

Hope that helps
_________________
Intern
Joined: 01 Jul 2014
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 4

Re: p and m are positive integers, and p is a prime number. If x [#permalink]

### Show Tags

03 Jul 2014, 04:19
Narenn wrote:
alokgupta1009 wrote:
Hi,

Need your guidance for below qq.

p and m are positive integers, and p is a prime number. If x^2-mx+p=0 has a positive interger solution what is the value of (m-p)?

Thanks in advance !!

In any quadratic equation $$ax^2 + bx + c = 0$$, the relationship between b and c is that b is the sum of the factors of c*a.

In $$x^2 - mx + p = 0$$, we know -m is the sum of the factors of p, and we also know that p is the prime number that means it has only two factors, p and 1

So -m = -p -1 -------> m - p = 1

Hope that helps

I didn't understand the explanation. Could you elaborate and give a numerical example?
MBA Section Director
Status: On vacation...
Affiliations: GMAT Club
Joined: 21 Feb 2012
Posts: 3939
Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 392

Kudos [?]: 2876 [1] , given: 2159

Re: p and m are positive integers, and p is a prime number. If x [#permalink]

### Show Tags

04 Jul 2014, 05:49
1
KUDOS
Expert's post
iftach1 wrote:
Narenn wrote:
alokgupta1009 wrote:
Hi,

Need your guidance for below qq.

p and m are positive integers, and p is a prime number. If x^2-mx+p=0 has a positive interger solution what is the value of (m-p)?

Thanks in advance !!

In any quadratic equation $$ax^2 + bx + c = 0$$, the relationship between b and c is that b is the sum of the factors of c*a.

In $$x^2 - mx + p = 0$$, we know -m is the sum of the factors of p, and we also know that p is the prime number that means it has only two factors, p and 1

So -m = -p -1 -------> m - p = 1

Hope that helps

I didn't understand the explanation. Could you elaborate and give a numerical example?

In quadratic equation $$x^2 + bx + c = 0$$, -b is the sum of the factors and c is the product. Suppose the factors of the equation are p and q then we can express $$x^2 + bx + c = 0$$ as $$x^2 + (p+q)x + pq = 0$$ where pq = c and p+q = -b
Consider the equation $$x^2 - 5x + 4 = 0$$ The factors of this equation are 4 & 1 so this equation can be expressed as $$x^2 - (4+1)x + (4*1) = 0$$

In the equation $$x^2 - mx + p = 0$$ we know that P is the prime number, so it can have only two factors: p and 1, so we can express the equation as $$x^2 - (p+1)x + (p*1) = 0$$. SO we have that -m = -p -1 and P = p ------> so m - p = p + 1 - p -----> 1

Hope that helps!!
_________________
Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 992
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Followers: 163

Kudos [?]: 1460 [0], given: 227

p and m are positive integers, and p is a prime number. If x [#permalink]

### Show Tags

05 Jul 2014, 01:10
Hi Narren,

Why you did not consider:-p+1=-m
Along with -p-1=-m I think above mentioned relation is also valid because m is sum or difference of factors.

Then -1 is also a possible value.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

p and m are positive integers, and p is a prime number. If x   [#permalink] 05 Jul 2014, 01:10
Similar topics Replies Last post
Similar
Topics:
1 In question if given, p and q are integers, should we consider 0 for p 1 21 Nov 2016, 22:13
If p is a prime number greater than 2, what is the value of p ? 0 14 Jul 2015, 09:22
Car X leaves Town A at 2 P.M 0 05 Jun 2015, 18:51
1 Are prime numbers positive numbers? 1 09 Mar 2013, 02:45
9 Question about p prime in to n factorial! 6 21 Jan 2011, 15:08
Display posts from previous: Sort by

# p and m are positive integers, and p is a prime number. If x

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.