How to Find All Roots of a Cubic Equation | x^3 + x^2 + bx + c = 0 скачать в хорошем качестве

How to Find All Roots of a Cubic Equation | x^3 + x^2 + bx + c = 0

In this tutorial, we solve a common "Theory of Equations" problem. We are tasked with finding the value of a constant c and identifying all roots of the cubic equation x^3 + x^2 + bx + c = 0, given that 2 - \sqrt{-3} is one of its roots and the coefficients b and c are real. What You’ll Learn: In this video, we break down: • The Complex Conjugate Root Theorem: Why complex roots always appear in pairs when coefficients are real. • Simplifying \sqrt{-3}: Converting radical negatives into imaginary i form. • Vieta’s Formulas: Using the sum and product of roots to find unknown coefficients. • Cubic Polynomial Properties: How to quickly identify the third root. Resources: • Subscribe for more math walkthroughs and exam prep! • Leave a comment if you have a specific problem you'd like me to solve next. #CubicEquations #ComplexNumbers #MathTutorial #Algebra #RootsOfEquations #StudyMath