Higher mathematics
Complex roots
Real and imaginary parts of quadratic roots when D is negative.
Higher mathematics
Discriminant for complex roots
D = b² − 4ac→Higher mathematicsReal part of a complex root
Re(x) = −b / (2a)→Higher mathematicsImaginary magnitude of a complex root
|Im(x)| = √(−D) / |2a|→Higher mathematicsComplex root modulus
|x| = √|c/a|→Higher mathematicsComplex roots of a quadratic equation
x₁,₂ = (−b ± i√(−D))/(2a), D<0→