is given with m and n real numbers and it's solutions.
It's asked for the value of the determinant:
I have tried to solve it in the Vandermonde way
Or to sum up columns 2 and 3 to the first (to obtain the sum, and the sum of squares of the solutions - which are found easily with Viete).
I have managed to find out that:
the value of the determinant beeing thinking that I should sqare the first identety and make some conection with this one.
I'm sorry for posting this problem to pre-algebra too. This is a linear algebra problem, but it's for highschool.