Quadratic Equation

Quadratic Equation

1. Solution of Quadratic Equation

   • Factorization Method:
     • Let ax2 + bx + c = α(x – α) (x – β) = O. Then, x = α and x = β will satisfy the given equation.
   • Direct Formula
     • Quadratic equation ax2 + bx + c = 0 (a ≠ 0) has two roots,

2. Nature of Roots

   • Let quadratic equation be ax2 + bx + c = 0, whose discriminant is D. (i) For ax2 + bx + c = 0; a, b , C ∈ R and a ≠ 0,
     • (a) D < => Complex roots (b) D > 0 => Real and distinct roots (c) D = 0 => Real and equal roots as α = β = – b/2a

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