Mathetica
Mathetica
  • Видео 60
  • Просмотров 11 271
📚 Solving Quadratic Equations with the Square Root Property and Completing Square! 🧮
In this lesson, we dive into solving quadratic equations using the Square Root Property. . Watch as we unravel common misconceptions and demonstrate step-by-step solutions to a variety of quadratic equations.
🚀 What You’ll Learn:
✅ The concept of absolute value in square root properties.
✅ How to apply the square root property to solve quadratic equations.
✅ Examples ranging from simple isolations to the method of completing the square.
✅ How to handle quadratic equations with irrational solutions.
🔑 Key Highlights:
.
✅ Solving Quadratic Equations:
✅ Isolating perfect squares.
✅ Using absolute value equations.
✅ Applying the method of completing the square.
✅ Practical examples for equations with ...
Просмотров: 85

Видео

📘 Understanding Absolute Value as a Function
Просмотров 3714 дней назад
n this lesson, we dive deep into the concept of absolute value as a function. Building on the previous lesson, where we solved absolute value inequalities and equations using the distance definition, we now explore its algebraic definition and graphical representation. 💡 What You'll Learn: ✔️ The distance interpretation of absolute value and why it’s always non-negative. ✔️ How to interpret the...
📚 Mastering Absolute Value Inequalities without Memorizing Any Rules 📚
Просмотров 4821 день назад
In this lesson, we dive into the world of absolute value inequalities, exploring how to solve them using a non-algebraic, geometric approach. Building on the concepts from the previous lesson on absolute value equations, we use number lines, distance, and intuitive reasoning to simplify and solve these problems. 🔍 What You’ll Learn in This Video: ✅ The definition of absolute value inequalities ...
📚 Understanding Absolute Value Equations: A Geometric Approach 📚
Просмотров 3521 день назад
In this lesson, we dive into the world of absolute value expressions and equations, exploring their meaning and applications using a non-algebraic, geometric perspective. 🔍 What You'll Learn in This Video: ✅ The definition of absolute value as the distance between a number and zero. ✅ Why absolute value is always non-negative. ✅ Examples of absolute value calculations for positive and negative ...
Solving Equations in Quadratic Equations and Quadratic forms Using the Zero-Product Property
Просмотров 5121 день назад
In this lesson, we tackle equations that can be transformed into quadratic form, using the zero product property to solve them step by step. From straightforward quadratic equations to advanced examples involving higher-degree polynomials and substitutions, this video is packed with essential techniques to master solving equations in Precalculus and Calculus. 📌 What You’ll Learn: ✔️ The signifi...
"Master Quadratic Factorization: Step-by-Step Guide for Any Coefficient!"
Просмотров 4728 дней назад
In this engaging lesson, we dive deep into the art of factorizing quadratic expressions, even when the leading coefficient isn't 1. 🚀 You'll learn: ✅ How to break down quadratics step-by-step. ✅ Techniques for rewriting the middle term for effective grouping. ✅ Methods to identify common factors and group terms correctly. By the end of this video, you’ll master the skills to factorize even the ...
The Derivative Inverse Functions
Просмотров 6128 дней назад
📘 Master the Derivative of the Inverse Function In this comprehensive lesson, we dive deep into the derivative of the inverse of a function. Starting with a review of the basics of functions, domains, and ranges, we'll explore the importance of one-to-one functions and how they are tied to the existence of inverses. Using engaging examples and clear explanations, you'll gain insight into why in...
Factoring Quadratic Trinomials with Leading Coefficient One
Просмотров 35Месяц назад
📚 Welcome to the ultimate lesson on factoring quadratics! Whether you're a student brushing up on algebra or just curious about the "why" behind factoring, this video is for you. We’ll break down quadratic expressions with a leading coefficient of one and explore: ✅ How to find two numbers that multiply to the constant and add up to the middle coefficient. ✅ The reasoning behind the factoring m...
Factoring Expressions with Roots
Просмотров 35Месяц назад
📚 Welcome to this comprehensive lesson on factorizing expressions involving roots! 🌟 Whether it's square roots, cube roots, or roots of any index, this lesson dives into the key techniques you need to know. These expressions aren’t polynomials, but no worries - we’ll simplify them step by step by factoring out the Greatest Common Factor (GCF). 💡 🧮 What You’ll Learn: How to rewrite roots as expo...
🎓 Master Special Factorizations: Step-by-Step Guide ✍️
Просмотров 69Месяц назад
In this video, we explore special factorization formulas that are crucial for pre-calculus and calculus. Learn how to handle the sum of two cubes, difference of two cubes, difference of two squares, and more! These essential techniques simplify expressions, preparing you for advanced math problems. What You’ll Learn: ✅ Why the sum of two squares is non-factorable. ✅ How to apply the difference ...
Quantum Computing: The Game-Changer Redefining AI, Security, and the Future
Просмотров 62Месяц назад
Explore the fascinating world of quantum computing, the revolutionary technology that's set to transform our future. Learn how it differs from traditional computers, its unprecedented computational speed, and its potential to supercharge artificial intelligence. We'll dive into its applications, consequences for industries reliant on encryption and simulations, and the incredible investment opp...
Unlock the secrets of GCF factoring in this step-by-step tutorial!
Просмотров 62Месяц назад
📚 Learn How to Factorize the GCF from Polynomials! ✍️ In this comprehensive lesson, we’ll walk you through the step-by-step process of factoring out the Greatest Common Factor (GCF) from polynomials. Whether you're a beginner or looking to refresh your algebra skills, this video will break it all down with easy-to-follow examples. The lesson is designed for algebra students and those who intent...
Stokes' Theorem
Просмотров 92Месяц назад
Stokes' Theorem
Parametric Curves Part VI Surface Area Of Revolution
Просмотров 43Месяц назад
Dive into this comprehensive lecture where we explore the surface area of revolution and introduce the fascinating polar coordinate system! This session is perfect for students and enthusiasts looking to deepen their understanding of advanced calculus topics and alternative coordinate systems. Key Topics Covered: Surface Area of Revolution ✅ Deriving the formula for surface area of a curve revo...
The Polar Coordinate System Part III
Просмотров 61Месяц назад
Welcome to this in-depth study session where we tackle the intricate details of polar functions and their calculus applications! 🎓 In this video, you'll learn: How to transform polar equations into parametric forms. Techniques for graphing polar curves like cardioids, roses, and limacons. Identifying intervals of negative radius and their impact on graphs. Finding derivatives (dy/dx) of polar f...
The Polar Coordinate System Part I
Просмотров 40Месяц назад
The Polar Coordinate System Part I
The Polar Coordinate System Part II
Просмотров 35Месяц назад
The Polar Coordinate System Part II
Calculus I Review Part I
Просмотров 67Месяц назад
Calculus I Review Part I
Calculus I Review Part II
Просмотров 36Месяц назад
Calculus I Review Part II
Arc Length
Просмотров 30Месяц назад
Arc Length
Volume of Revolution Part II
Просмотров 42Месяц назад
Volume of Revolution Part II
Area Between Two Curves and Volume of Revolution Part I
Просмотров 28Месяц назад
Area Between Two Curves and Volume of Revolution Part I
RSA Encryption Explained: How It Keeps Your Data Secure
Просмотров 46Месяц назад
RSA Encryption Explained: How It Keeps Your Data Secure
Mastering the Market Trading in the Zone Essentials
Просмотров 54Месяц назад
Mastering the Market Trading in the Zone Essentials
Martingale Strategy for Roulette Expected Value
Просмотров 47Месяц назад
Martingale Strategy for Roulette Expected Value
Black Jack The Most Optimal Strategy
Просмотров 542Месяц назад
Black Jack The Most Optimal Strategy
🎯 The Kelly Criterion: How to Make Smarter Bets and Investments 💰
Просмотров 47Месяц назад
🎯 The Kelly Criterion: How to Make Smarter Bets and Investments 💰
Sum of 1/n^2 = pi^2/6
Просмотров 47Месяц назад
Sum of 1/n^2 = pi^2/6
Parametric Curves (Part V) Arc Length
Просмотров 35Месяц назад
Parametric Curves (Part V) Arc Length
Parametric Curves(Part IV) Analyzing the Graph of Parametric Equations and Intro to Arc Lenth
Просмотров 80Месяц назад
Parametric Curves(Part IV) Analyzing the Graph of Parametric Equations and Intro to Arc Lenth