a 2. Quadratic equations A quadratic equation has the form ax^2 + bx + c = 0 with a ≠ 0 . The solutions are given by the quadratic formula. Quadratic formula: Given ax^2 + bx + c = 0 , define the discriminant D = b^2 - 4ac . If D > 0 , there are two distinct real roots. If D = 0 , there is one repeated real root. If D < 0 , the roots are complex conjugates. The roots are: x = (-b ± √D)

Calculators in a 2. Quadratic equations A quadratic equation has the form ax^2 + bx + c = 0 with a ≠ 0 . The solutions are given by the quadratic formula. Quadratic formula: Given ax^2 + bx + c = 0 , define the discriminant D = b^2 - 4ac . If D > 0 , there are two distinct real roots. If D = 0 , there is one repeated real root. If D < 0 , the roots are complex conjugates. The roots are: x = (-b ± √D).