Properties

A second-degree equation has 0, 1 or 2 roots. The general form of a second-degree polynomial equation is Ax² + Bx + C = 0. The value of the discriminant is  ∆ = B² – 4AC.

• If ∆ > 0, the two roots are real and different.
• If ∆ = 0, the two roots are real and equal.
• If ∆ < 0, the two roots are imaginary and conjugate.
• If Δ ≥ 0, the roots are real and : [latex]x_{1}[/latex] = [latex]\frac{-B  +  \sqrt{{B}^{2} − 4AC}}{2A}[/latex]   et   [latex]x_{2}[/latex] = [latex]\frac{−B  −  \sqrt{{B}^{2} − 4AC}}{2A}[/latex].