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

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p and m are positive integers, and p is a prime number. If x [#permalink] New post 07 Sep 2013, 09:57
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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.
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Re: p and m are positive integers, and p is a prime number. If x [#permalink] New post 08 Sep 2013, 18:30
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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 :)
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Re: p and m are positive integers, and p is a prime number. If x   [#permalink] 08 Sep 2013, 18:30
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p and m are positive integers, and p is a prime number. If x

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