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Complex numbers
i² = −1, arithmetic in the complex plane, modulus and conjugates.
Allowing one new number, i with i² = −1, makes every polynomial equation solvable. Complex numbers add like vectors and multiply by multiplying lengths and adding angles; the modulus |a + bi| = √(a² + b²) is the distance from 0. The solver evaluates the arithmetic exactly and the quadratic pages show where complex roots come from.
ឧទាហរណ៍ដែលបានធ្វើ: (1 + 2i)*(3 - i)
ជំហានដោយជំហាន
- \left(1 + 2 i\right) \left(3 - i\right) = 5 + 5 i
Evaluate.
បង្ហាញចម្លើយ
5 + 5 i
ព្យាយាមរបស់អ្នកផ្ទាល់
បន្ថែមទៀតក្នុង Precalculus
Polynomial functionsRational functionsSequences and seriesThe binomial theoremConic sectionsVectors