⇒ For real numbers a, b and c, if the roots of the quadratic equation az² + bz + c = 0 are non-real complex numebrs, then they occur as conjugate pairs

⇒ Another way of stating this is that for a real-value quadratic function f(z), if z₁ is a root of f(z) = 0 then z₁* is also a root

⇒ You can also use this fact to find one root if you know the other, or to find the original equation

⇒ Also see our notes on:

• Imaginary and Complex Numbers
• Multiplying Complex Numbers
• Complex Conjugation
• Solving Cubic and Quartic Equations