Solve using the Quadratic Formula

The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

The discriminant D = b² - 4ac indicates the nature of the roots of the quadratic equation: D > 0 means 2 real solutions, D = 0 means 1 real solution, and D < 0 means no real solutions.

0

2

The standard form of a quadratic equation is ax² + bx + c = 0.

If the discriminant is zero, the quadratic equation has 1 real solution.

x = -4, -2

The vertex is the highest or lowest point of the parabola, found at the point (h, k) where h = -b/(2a) and k = f(h).

The axis of symmetry is the vertical line x = -b/(2a) that divides the parabola into two mirror-image halves.

A quadratic equation can have 2 real solutions, 1 real solution, or no real solutions (imaginary solutions).