Question
The Fundamental Theorem of Algebra asserts that every non-constant polynomial has at least one root from these numbers. For 10 points each:
[10m] Name these numbers. Quadratic equations with a negative discriminant have numbers in this set as solutions.
ANSWER: complex numbers [reject “imaginary numbers”]
[10e] Complex numbers are the sum of an imaginary number and one of this set of numbers that can be found on a number line.
ANSWER: real numbers
[10h] This formula, named for a Frenchman, relates imaginary and real numbers by expressing powers of complex numbers in terms of trigonometric functions.
ANSWER: De Moivre's (“deh-MWAHV-es”) formula
<Science - Other Science - Math>
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | 
|---|---|---|---|---|---|
| USN A | USN B | 10 | 10 | 10 | 30 | 
| USN C | Merrol-Hyde | 0 | 10 | 10 | 20 | 
| Vanderbilt | USN MS | 0 | 10 | 0 | 10 | 
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % | 
|---|---|---|---|---|---|---|---|
| Snowball Fight 2 | 1/11/2025 | Y | 3 | 20.00 | 100% | 33% | 67% | 
| 2024 FARSI @ Columbia | 12/08/2024 | N | 11 | 20.91 | 91% | 55% | 64% |