Seshu cheera

  Class 10 CBSE Maths – Chapter 4: Quadratic Equations 🔹 Key Concepts and Formulas ✅ What is a Quadratic Equation? A quadratic equation in the variable x x is of the form: a x 2 + b x + c = 0 ax^2 + bx + c = 0 where: a , b , c a, b, c are real numbers a ≠ 0 a ≠ 0 It is called a quadratic equation because the highest exponent of the variable x x is 2. ✅ Standard Forms Pure quadratic: a x 2 + c = 0 ax^2 + c = 0 Quadratic trinomials: a x 2 + b x + c = 0 ax^2 + bx + c = 0 Factorable quadratics: can be written as product of binomials. ✅ Methods of Solving Quadratic Equations Factorisation Method Express as a product of two linear factors Set each factor = 0 and solve Completing the Square Method Convert to perfect square by adding/subtracting a constant Take square root on both sides Quadratic Formula: x = − b ± b 2 − 4 a c 2 a x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} This works for all quadratic equations. ✅ Discriminant (D) ...