Theory of Equation
Dive into a comprehensive exploration of the Theory of Equations in this 4.5-hour tutorial series. Learn about roots of equations, synthetic division, and the relationship between roots and coefficients. Master techniques for solving cubic equations with roots in arithmetic, geometric, and harmonic progressions. Explore equation transformations, including sign changes, root multiplication, and reciprocals. Discover methods for solving reciprocal equations and removing terms. Study Descartes' Rule of Signs for determining root signs, and delve into advanced techniques like Cardan's method for cubic equations and Ferrari's method for biquadratic equations. Gain valuable insights on protecting yourself during the coronavirus pandemic, with advice tailored for students and community members.