Lesson 11 of 12Article15 min
Complex Numbers & Polar Form
i² = −1 extends the number system so every quadratic has roots. Write z = a + bi; conjugate ā − bi; modulus |z| = √(a²+b²).
Beyond the real line
i² = −1 extends the number system so every quadratic has roots. Write z = a + bi; conjugate ā − bi; modulus |z| = √(a²+b²).
Complex roots of real polynomials come in conjugate pairs.