Tec — The Education Consultancy

Topics covered

• The discriminant of a quadratic equation, and how it determines the nature of the roots
• Cube roots of unity (1, ω, ω²) and their properties, with applications to allied problems
• The sum and product of the roots of a quadratic equation, expressed in terms of its coefficients
• Symmetric functions of the roots of a quadratic equation, including their graphical representation
• Forming a quadratic equation whose roots are given, or are transformations of the roots of another equation
• Solving cubic and biquadratic equations reducible to quadratic form, given one or two roots
• Solving systems of two equations in two variables (linear-quadratic and quadratic-quadratic), including real-life applications