A quadratic equation of the form ax² + bx + c = 0, x E C, where a, b, and c are real constants, can have two real roots, one repeated (real) root or two complex roots

⇒ If the roots of this equation are α and β, you can determine the relationship between the coefficients of the terms in the quadratic equation and the values of α and β

⇒ Also see our notes on:

• Roots of a Cubic Equation
• Roots of a Quartic Equation
• Expressions Relating to the Roots of a Polynomial
• Linear Transformations of Roots