Quadratic Equations
What is Quadratic Equations ?
Quadratic equations are mathematical equations of the form ax² + bx + c = 0. They involve a variable squared and have coefficients "a," "b," and "c." Quadratic equations can have zero, one, or two solutions depending on the discriminant. They find applications in mathematics, physics, and engineering. Techniques such as factoring, completing the square, and using the quadratic formula can be used to solve quadratic equations. Understanding quadratic equations is important for problem-solving and mathematical modeling in various fields.
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Table of Content
1. Polynomial.
2. Types of quadratic equation.
3. Solution of quadratic equation.
4. Nature of roots.
5. Root under particular conditions.
6. Relation between roots and coefficients.
7. Biquadratic equation.
8. Condition for common roots.
9. Properties of quadratic equation.
10. Quadratic expression.
11. Wavy curve method.
12. Position of roots of a quadratic equation.
13. Descartes rule of signs.
14. Rational algebraic inequations.
15. Algebraic interpretation of rolle's Theorem.
16. Equations and inequations on containing absolute value.