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Graphing Quadratic Inequalities Calculator

Solve and graph quadratic inequalities ax² + bx + c > 0

Coefficient a (x²)

Coefficient b (x)

Constant c

Standard Form

ax² + bx + c > 0

Where a ≠ 0

Discriminant

Δ = b² - 4ac

Determines number of roots

Vertex

h = -b/(2a), k = f(h)

Minimum or maximum point

Roots

x = (-b ± √Δ) / (2a)

Where parabola crosses x-axis

Physics

• Projectile motion

• Height constraints

• Energy bounds

Engineering

• Structural limits

• Optimization

• Safety margins

Economics

• Profit analysis

• Cost constraints

• Revenue modeling