Algebraic Foundations: Quadratic Equations and Inequalities

Quadratic equations are the cornerstone of algebra, appearing in everything from physics problems to advanced financial modeling. This course provides a clear, step-by-step pathway to mastering quadratic functions, roots, and algebraic inequalities without assuming any prior advanced mathematical knowledge. You will start with core definitions and gradually build up to analyzing complex algebraic transformations. By the end of this course, you will confidently solve quadratic equations, manipulate their roots under specific conditions, and interpret inequality relationships. What you'll learn: Understand the foundational definitions of quadratic equations and their roots; Analyze the mathematical relationship between roots and coefficients; Apply algebraic rules to modify roots by given conditions, including multiplication and addition; Solve linear, quadratic, and modulus inequalities with precision; Comprehend the basic geometric properties and shape of a parabola. The course begins with essential terminology and algebraic concepts before moving into practical solving techniques and structured exercises. This course is designed for absolute beginners, students preparing for exams, or anyone looking to refresh their algebra skills. Begin reading today and build a rock-solid foundation in quadratic mathematics.