Quadratic Equations and Complex Numbers
Learning Time: 5-15 hours
Content: Quadratic equations and complex numbers is a subject that examines the solutions of second degree polynomials and the complex number system. The 2025 curriculum includes the root formula, discriminant, and complex numbers (i = √-1). The focus is on basic equations in TYT, while the focus is on complex numbers in AYT.
- Basic Concepts:
- 2. Degree Equations (ax² + bx + c = 0)
- Delta (Δ = b² – 4ac)
- Root Formula (x = [-b ± √Δ] / 2a)
- Solution Methods:
- Factoring
- Perfect Square Making
- Nature of Roots (Real, Equal, Imaginary)
- Advanced Calculus (AYT):
- Complex Numbers (a + bi)
- Conjugate and Module
- Application Problems
- Applications:
- Physical Models
- Examples from Daily Life
- Engineering Calculations
- Affecting Factors:
- Discriminant Value
- Coefficient Type
- Number of Roots
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Intermediate
- Language English
- Students 15
- Assessments Yes
