Quadratic Equation for Class 10

📚 Class 10 Mathematics | Quadratic Equation In this video, we will learn the Quadratic Equation in a simple, step-by-step way according to the SEE/Class 10 syllabus. Basic examples are also included to make the concept easy to understand. 📌 Contents Covered Introduction to Quadratic Equation Meaning and standard form Basic identification of a quadratic equation Simple examples Derivation of the Quadratic Formula For the general quadratic equation: ax² + bx + c = 0, a ≠ 0 We derive the formula: x = (-b ± √(b² − 4ac)) / 2a The derivation is explained using the completing-the-square method. Roots of a Quadratic Equation Meaning of roots Finding roots of ax² + bx + c = 0 Basic numerical examples Verification of roots ✏️ Basic Examples Example 1: x² − 5x + 6 = 0 Factoring: (x − 2)(x − 3) = 0 Therefore, x = 2 or x = 3 Example 2: x² − 9 = 0 (x − 3)(x + 3) = 0 Therefore, x = 3 or x = −3 Example 3: For 2x² + 3x − 2 = 0, a = 2, b = 3, c = −2 Using x = (-b ± √(b² − 4ac)) / 2a we can find the two roots. 🎯 This lesson is especially useful for Class 10 students preparing for SEE examinations, school examinations, and mathematics practice. 👍 Like | 💬 Comment | 🔔 Subscribe | ↗️ Share Bright Mind Academy – Your Success, Our Mission