Deriving the General Quartic Formula StepbyStep Solve Any Quartic Equation

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In this video, we dive deep into the quartic formula, showing you step-by-step how to solve any 4th-degree polynomial equation. Starting from the general quartic equation, we use transformations, substitutions, and algebraic techniques to derive the complete solution for x. This comprehensive guide includes: • 1.Shifting the equation to simplify calculations. • 2. Introducing a cubic variable s to reduce complexity. • 3. Solving for s using Cardano's formula. • 4. Substituting back to find the roots of x. • Perfect for math enthusiasts, students, and professionals looking to master advanced algebra! • Key topics covered: • ✅ The shift x = y - b/(4a). • ✅ Cardano's cubic formula for s. • ✅ Writing the quartic equation in terms of perfect squares. • ✅ Final quadratic equation for x. • Don't miss out on this essential tutorial to elevate your understanding of algebraic techniques! • If you find this content helpful, don't forget to like, comment, and subscribe for more advanced math content. • Timestamps: • 0:00 Introduction • 1:03 The General Quartic Equation • 1:20 Simplifying via Substitution • 3:38 Finding s Using Cardano's Formula • 4:30 Writing in Terms of Perfect Squares • 5:13 Final Quadratic Solution for x • • Hashtags: • #MathTutorial #QuarticEquation #Algebra #AdvancedMath #Mathematics #Polynomial #CardanoFormula #MathTips #STEM #MathProblemSolving

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