📚 Quadratic Equations Cheatsheet
Welcome to the ultimate cheatsheet on quadratic equations! Quadratic equations are a type of polynomial equations and are one of the fundamental elements in algebra and calculus.
Standard Form
ax² + bx + c = 0
Solutions
The solutions or roots are given by the quadratic formula:
x = (-b ± √(b²-4ac)) / (2a)
Discriminant
The discriminant Δ = b² - 4ac
- If Δ > 0, there are 2 distinct real roots.
- If Δ = 0, there is exactly 1 real root.
- If Δ < 0, there are 2 complex roots.