**10th Maths - Quadratic Equation**

Contents

1. Standard form of a quad. Equations: ax2 + bx + c = 0 (a â‰ 0)

2. Solution of the quadratic equations conly real roots by

(a) Factorization

(b) Completing the square

(c) Quadratic formula

3. Relationship between discriminant and nature of roots.

4. Problems related to day to day activities.

Learning Objective: To learn the following facts

1. A second degree eqns of the form ax2 + bx + c = 0 where a, b, c are real numbers and a â‰ 0 are called quadratic eqn.

2. If ax2 + bx + c = 0 equivalent to (x â€“ a) (x â€“ b) = 0 then x = a and x = b is a solution.

3. If ax2 + bx + c = 0 has a & b as roots of eqn then sum of roots = â€“ b/a. Product of roots = c/a.

4. (b2 â€“ 4ac) is called the discriminant of the eqn and

if D > 0 => Real & Distinct Roots

if D = 0 => Real & Equal Roots

if D < 0 => No Real Roots

Key Term

1. Roots of an eqn.

2. Discriminant

3. Real & Non Real Roots

4. Quadratic Formula =>

X Ch : Quadratic Equation Solved Question With Self Evaluation Question

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