x² + 5x - 14 = 0(x + 7)(x - 2) = 0x₁ = -7, x₂ = 2✓Quadratic formula:x = (-b ± √(b²-4ac)) / 2aΔ = b² - 4acΔ > 0 → two solutionsΔ = 0 → one solutionΔ < 0 → no real solutionsabcθa² + b² = c²Slope:m = (y₂ - y₁) / (x₂ - x₁)m = (8 - 2) / (5 - 1) = 6/4m = 3/2y = 3/2 x + b2 = 3/2(1) + b → b = 1/2→ y = 3/2 x + 1/2rA = πr²C = 2πradjopphypαsinα = opp/hypcosα = adj/hypSystem:2x + 3y = 12x - y = 1x = y + 12(y+1) + 3y = 125y = 10y = 2, x = 3xyvertexf(x) = ax² + bx + csin²θ + cos²θ = 1sin 30° = 1/2cos 60° = 1/2tan 45° = 1SOH CAH TOAExponential:f(t) = P₀ · (1 + r)ᵗ500 · 2ᵗ = 40002ᵗ = 8t = 3Distance:d = √((x₂-x₁)² + (y₂-y₁)²)Midpoint:M = ((x₁+x₂)/2, (y₁+y₂)/2)∑ = n(n+1)/2V = πr²h|x - 3| = 7P(A) = favorable / totalmean = Σxᵢ / nIQR = Q₃ - Q₁(a+b)² = a² + 2ab + b²V = 4/3 πr³A = 1/2 bhy = mx + ba² - b² = (a+b)(a-b)Sector = θ/360 · πr²f(g(x))x = -b/2an! = n(n-1)...% change = Δ/originalperpendicular: m₂ = -1/m₁Arc = rθ2x - 7 = 15 → x = 11slope-intercept form30-60-90∠A + ∠B + ∠C = 180°median√2 ≈ 1.4143x² + 6x - 24 = 0α01234xy

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