∑ AIX I = 0, ∑ is a summation symbol, which means that all the formulas I take from 0 to n add up to an equation.
In order to get the N-dimensional Vieta theorem, that is, Newton's identity, let n solutions of this equation be X 1, X2, X3, X4...Xn, then the following equation should be established:
An (x-x1) (x-x2) (x-x3) ... (x-xn) = 0.
Expansion should have the same coefficient as the first formula, so that we can get the relationship between a 1, a2, a3 ... an and x 1, x2, x3 ... such as xn.
X 1+X2+X3+......+Xn=-A(n- 1)/An
X1x2x3 ... xn = (-1) nao/an, and you can write the rest yourself. It's very simple.