Re: Sum of factors

In article <d436pr$bmp$1@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"Néstor" <c@xxxxx> wrote:

> Hi!
>
> Supose we have N<>M so that
>
> N=a*b
> M=c*d
>
> a<>b<>c<>d unknown, but:
>
> a+b = c+d
>
> Can we obtain a,b,c,d from N,M?

For every value of a, c is the solution of

(a + N/a) = c + M/c

or

c^2 - (a + N/a) * c + M = 0.

That is a simple quadratic equation which will have two solutions for
many values of a.
.

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