Math Knowledge Base

Quadratic Formula

x = (-b ± √(b²-4ac)) / 2a)

Vieta's formulas

x₁ + x₂ = -b/a, x₁·x₂ = c/a

Arithmetic Sequence

aₙ = a₁ + (n - 1)d, Sₙ = n(a₁ + aₙ) / 2

Geometric Sequence

an = a₁·r^(n-1), Sn = a₁(1-r^n)/(1-r)