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.
Overview
Syllabus
Theory of Equation | Roots Of Equation | Theorems with Examples.
Synthetic Division | Theory of Equation | Roots Of Equation | Examples.
Theory of Equation | Relation Between Roots & Coefficients | Examples.
Theory of Equation | Solution Of Cubic Equation | Roots are in A.P..
Theory of Equation | Solution Of Cubic Equation | Roots are in G.P..
Theory of Equation | Solution Of Cubic Equation | Roots are in HP.
Theory of Equation | Transformation Of Equation | Roots With Sign Change.
Theory of Equation | Transformation Of Equation | Roots Multiplied By K.
Theory of Equation | Transformation Of Equation | Reciprocal Of Roots.
Theory of Equation | Solution Of Reciprocal Equation | Roots Of Reciprocal.
Theory of Equation | Roots Diminished By h | Transformation Of Equation.
Theory of Equation | Removal Of Terms | Transformation Of Equation.
Theory of Equation | Descarte's Rule Of Sign | Finding Sign Of Roots.
Theory of Equation | Cardan Method | Solution Of Cubic Equation.
Theory of Equation | Ferrari Method | Solution Of Bi-quadratic Equation.
Coronavirus | How To Protect Your Self | Advice For Students & Community Members.
Taught by
Gajendra Purohit
