📘 Theory: Complex Numbers & Quadratic Roots
Complex number:
z = a + bi
Magnitude (r):
√(a² + b²)
Argument (θ):
atan2(b, a)
(in° or rad)
Quadratic roots: For ax² + bx + c = 0 →
Discriminant D = b² − 4ac
Real roots when D ≥ 0; complex roots otherwise
Roots:
(−b ± √D) / 2a
Identify a Complex Number
Enter z (e.g., 3+4i):
Classify & Plot z
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Quadratic Equation Roots
Coefficients a, b, c:
Solve & Plot Roots
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