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.

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