I know it may not be relevant to cp but i see some editorials talk about this formula. And how can we generalize it for polynomial of nth degree.
I know it may not be relevant to cp but i see some editorials talk about this formula. And how can we generalize it for polynomial of nth degree.
# | User | Rating |
---|---|---|
1 | tourist | 3757 |
2 | jiangly | 3647 |
3 | Benq | 3581 |
4 | orzdevinwang | 3570 |
5 | Geothermal | 3569 |
5 | cnnfls_csy | 3569 |
7 | Radewoosh | 3509 |
8 | ecnerwala | 3486 |
9 | jqdai0815 | 3474 |
10 | gyh20 | 3447 |
# | User | Contrib. |
---|---|---|
1 | maomao90 | 171 |
2 | awoo | 165 |
3 | adamant | 164 |
4 | TheScrasse | 159 |
5 | maroonrk | 155 |
6 | nor | 154 |
7 | -is-this-fft- | 152 |
8 | Petr | 147 |
9 | orz | 146 |
10 | pajenegod | 145 |
Name |
---|
https://math.stackexchange.com/questions/2951544/memorization-and-generalization-of-vietas-formulas
Basically, it manifests the relationship between the coefficients and roots of a polynomial. Consider a quadratic equation $$$ax^2 + bx + c$$$. Lets suppose that $$$\alpha$$$ and $$$\beta$$$ are the roots of this equation, then:
$$$\alpha + \beta$$$ = $$$-b / a$$$
$$$\alpha \beta$$$ = $$$c / a$$$
I am pretty sure that you are familiar with this relationship without knowing the fact that it is called the "Vieta's formula"