Quadratic Equations • Class 10 Mathematics • NCERT • CBSE
A quadratic equation has the form ax² + bx + c = 0 (a ≠ 0). Solve it using: (1) Factorisation, (2) Completing the square, or (3) Quadratic formula: x = (−b ± √(b²−4ac)) / 2a. The discriminant D = b²−4ac determines the nature of roots.
ax² + bx + c = 0 (Standard form of quadratic equation)
x = (−b ± √(b²−4ac)) / 2a (Quadratic formula)
D = b² − 4ac (Discriminant)
Sum of roots α + β = −b/a
Product of roots αβ = c/a
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