Quadratic Equations

• Quadratic Equation: General form is ax^2 + bx + c = 0
  • Standard form of quadratic equation
  • Coefficient, Variable, Constant
• Quadratic Formula: x = (-b ± √(b^2 - 4ac)) / 2a
  • Discriminant (D = b^2 - 4ac)
  • Real and Complex roots
• Types of Roots: Real and Distinct, Real and Equal, Complex
  • Sum and Product of Roots
• Graphical Representation: Quadratic Parabolas
  • Axis of Symmetry: x = -b / 2a
  • Vertex: (h, k) = (-b / 2a, f(-b / 2a))
• Solving Quadratic Equations: Algebraic and Graphical methods
  • Factoring, Quadratic Formula, Graphical Method
• Word Problems: Applications of quadratic equations in real-life situations
  • Projectile Motion, Area of Triangle, etc.
• Important Formulas: Summary of key formulas
  • Quadratic Formula, Discriminant, etc.