Central Public School,Samastipur And Sadhana Devi Vidyapith, Samastipur [Student Practice] Quadratic Equations : Contents 1. Standard form of a quad. Equations: ax 2 + bx + c = 0 (a ≠ 0) 2. Solution of the quadratic equations only real roots by (a) Factorization (b) Completing the square (c) Quadratic formula 3. Relationship between discriminant and nature of roots. if D > 0 => Real & Distinct Roots if D = 0 => Real & Equal Roots if D < 0 => No Real Roots 4. Problems related to day to day activities Learning Objective: To learn the following facts 1. A second degree Equation of the form ax 2 + bx + c = 0 where a, b, c are real numbers and a ≠ 0 are called quadratic eqn. 2. If ax 2 + bx + c = 0 equivalent to (x – a) (x – b) = 0 then x = a and x = b is a solution. 3. If ax 2 + bx + c = 0 has a & b as roots of eqn then sum of roots = – b/a. Product of roots = c/a. 4. (b 2 – 4ac)
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