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📐 Algebra
Quadratic Equations
ax²+bx+c=0; solved by quadratic formula, factoring or completing the square; parabola graphs
Babylonia 🌍 300 BC Algebra
Key Facts
- 1
Quadratic formula: x = (−b ± √(b²−4ac)) / 2a — discriminant (b²−4ac) determines nature of roots
- 2
Roots: two real and distinct (D>0), two equal real (D=0), complex conjugates (D<0)
- 3
Applications: projectile motion (trajectory is a parabola), engineering designs, profit maximisation
🔢 Did you know? Babylonians were solving quadratic equations 4,000 years ago using geometric methods — without algebra notation
Quick Reference
Category
Algebra
Country
🌍 Babylonia
Year / Era
300 BC
About
ax²+bx+c=0