Quadratic Equation Solver
Solve ax² + bx + c = 0 quadratic equations to find real and complex roots, discriminant, and vertex coordinates.
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1x² - 5x + 6 = 0
1
-5
6
Roots of Equation
Solutions for x
x₁ = 3.0000, x₂ = 2.0000
Discriminant (Δ = b² - 4ac)
1
Nature of Roots
Two distinct real roots
Vertex of Parabola (x, y)
(2.5, -0.25)
Formula & Calculation Methodology
x = [-b ± √(b² - 4ac)] / (2a)
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How to Use Quadratic Equation Solver Online
1
Enter Input Values
Fill in the necessary fields, adjust sliders, or upload your file directly in the workspace.
2
Instant Calculation
The tool computes your result in real time with high mathematical accuracy.
3
Copy or Download
Copy output values to your clipboard or download your processed file with 1 click.
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Frequently Asked Questions about Quadratic Equation Solver
Yes, Quadratic Equation Solver on 200Tool is 100% free with no hidden subscriptions, trial limits, watermarks, or account registration required.
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