(rational numbers)
(real numbers)
(if p2/4 ≥q)
(complex numbers)
| Degree | Equation | Solution | "Field"
| aX+b = 0
|
Q
| (rational numbers) X2+pX+q = 0
|
R
| (real numbers) (if p2/4 ≥q) X3+pX+q = 0
|
C
| (complex numbers) |
|---|
|
We have specified a "field"
for being able to determine
a solution.
A "field" is a system of numbers with: | Addition: | associative | commutative | subtraction is possible
| Multiplication:
| associative
| commutative
| division is possible
| distributivity
| | |||