Mathematics · important
Complex roots for negative discriminant for JEE
Quadratic equations in real and complex number systems and their solutions
Formula
\(x=\dfrac{-b}{2a}\pm i\dfrac{\sqrt{4ac-b^2}}{2a}\)
Variables: \(a,b,c\in\mathbb R\)
Conditions: \(a\neq 0,\ D<0\)
Expressing non-real roots explicitly.