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Free Algebraic Quadratic Roots & Parabola Solver Online

Solve quadratic equations ax² + bx + c = 0 using the quadratic formula, completing the square, and factoring methods with step-by-step workings and graph visualization. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Academic Forecasting & Grading Suite
Required Score on Final Exam105.0%

How It Works

1

Enter Coefficients

Input values for a, b, and c in the equation ax² + bx + c = 0.

2

View Discriminant

See the discriminant (b² – 4ac) to determine the nature of roots.

3

Get Roots

See real roots, complex roots, or no-real-solution result depending on discriminant.

4

View Parabola Graph

See the quadratic curve with roots, vertex, and axis of symmetry labeled.

Frequently Asked Questions

x = (-b ± √(b² - 4ac)) / 2a. When discriminant (b² - 4ac) > 0: two real roots. When = 0: one repeated root. When < 0: two complex (imaginary) roots.

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