Solve ax² + bx + c = 0, find the discriminant, and calculate roots.
For ax² + bx + c = 0, the roots are x = (−b ± sqrt(b² − 4ac)) / 2a; the discriminant is b² − 4ac.
For x² − 5x + 6 = 0, the roots are x = 2 and x = 3.
A positive discriminant means two real roots, zero means one repeated root, and a negative value means two complex roots.
Yes. When the discriminant is negative, the calculator reports complex roots.
If a is zero the equation is not quadratic; it becomes linear and should be solved differently.