nature of roots of quadratic equations | Nature of roots | Quadratic Equations | Discriminant
Hello Friends,
Welcome to our math channel! In this video, we dive deep into the fascinating world of quadratic equations and explore the nature of their roots. Whether you're a high school student, a college math enthusiast, or simply curious about quadratic equations, this video is perfect for you.
What You'll Learn:
1. Definition of a Quadratic Equation: A brief overview of what a quadratic equation is and its standard form.
2. The Discriminant: Learn how to calculate the discriminant (Δ) and understand its significance.
3.Nature of Roots Based on the Discriminant:
A. Δ Greater than 0: Two distinct real roots
B. Δ = 0: One real root (repeated root)
C. Δ less than 0: Two complex roots or not real roots
4. Examples and Problem Solving: Step-by-step solutions to various quadratic equations to illustrate each case.
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