Math
posted by Raf .
There are many pairs of numbers (positive and negative) of which the sum is worth the unit. Of those, find the 2 numbers whose sum, double the square of the first number and the square of the 2nd number would give a minimal value.

You keep asking this, but it's still not clear what you want.
What do you mean by "2 numbers whose sum, double the square of the first number and the square of the 2nd number would give a minimal value"?
If the numbers are m and n,
Do you mean that each of m+n and 2m^2 and n^2 are all minimum?
or
m+n + 2m^2 + n^2 is a minimum?
or some other bizarre interpretation?
It's a poorly worded problem.
Also, what is "worth the unit"? Does that mean m+n = 1? 
I don't understand the question either, that's why I posted it here and that's exactly how the problem is written word by word, so I have really no idea :(. From what I can interpret, is that we're looking for what sum of two numbers m + n would give a minimal value, now 1 number is 2x(m)^2 and the 2nd number is just at n^2. This is what I think it could mean.
Thank you for your time.