Use of cardano's formula

📝🔍 Understanding the Use of Cardano's Formula

📘 Explored Concept:
Cardano's Formula: Explore the application of Cardano's Formula in solving cubic equations, specifically depressed cubic equations of the form x^3+px+q=0

💡 Key Conceptual Understanding:
🅰 Depressed Cubic Equation: A depressed cubic lacks the x^2 term, presented as x^3+px+q=0
🅱 Formula Overview: Cardano's Formula involves introducing substitutions, auxiliary variables, and trigonometric functions to derive solutions for depressed cubic equations.

🌟 Key Insight:
Understanding Cardano's Formula requires intricate manipulations, including introducing auxiliary variables and trigonometric functions, to express the roots of a depressed cubic equation.

▶️ Detailed Exploration:
Explore the steps involved in using Cardano's Formula to solve depressed cubic equations, showcasing the method's complexity and the sequence of transformations applied.

📢 Strengthen Your Understanding:
Engage with specific examples of depressed cubic equations, applying Cardano's Formula step-by-step to compute their roots, demonstrating the practical application and complexity of the formula.
📢 Connect and Learn:

🌐 Enhance Your Learning Journey:
Consult textbooks or specialized resources in algebra or polynomial equations for a comprehensive understanding of Cardano's Formula and its historical significance in mathematics.

📘 Objective:
To comprehend Cardano's Formula as a method for solving depressed cubic equations, emphasizing its involved steps, auxiliary variables, and use of trigonometric functions.

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[sagar_jagad]

Any questions then ask in comment... I will like to solve it...
And if any one knows the general method to solve square root under cube root part(ie root of y part) without calculator plz share with all...