# Homework Help: Set of equations

1. May 6, 2010

### dirk_mec1

1. The problem statement, all variables and given/known data
I want to show that for $$v \leq 0$$ there's no solution for the this set of equations:

$$N=M+K+v$$

$$\sqrt{N^2 +Np^2} = \sqrt{M^2+Mp^2 }+\sqrt{K^2+Kp^2}$$

M,K and v are natural numbers. p^2 is a given real number.

2. Relevant equations
In an other situation the answer is as follows:

http://img413.imageshack.us/img413/9031/53455608.png [Broken]

3. The attempt at a solution
I've tried the same steps as above but failed. Can I adapt the proof or do I need to do something else?

Last edited by a moderator: May 4, 2017