Reduce improper or proper fractions to lowest terms, mixed numbers, decimal, and percentage equivalents.
Quadratic Equation Solver
Quadratic Equation Solver is a verified mathematics & percentage calculation tool on Calcify. Solve ax² + bx + c = 0 for real or complex roots, discriminant (Δ), and parabola vertex coordinates. All calculations execute locally in your browser with multi-currency support, visual breakdowns, and white-label client exports.
Input Parameters
#097 / 218Equation: 1x² -5x +6 = 0 | Discriminant Δ = 1
x = [ -b ± √(b² - 4ac) ] / (2a); Discriminant Δ = b² - 4ac; Vertex x_v = -b / (2a)
Example Calculation & Assumptions
Example Inputs: Coefficient a (x² term, a ≠ 0): 1 · Coefficient b (x term): -5 · Constant c: 6
Example Output: Quadratic Roots (x₁, x₂): x₁ = 3.0000, x₂ = 2.0000 (Equation: 1x² -5x +6 = 0 | Discriminant Δ = 1)
- Handles positive discriminant (two real roots), zero discriminant (repeated root), and negative discriminant (complex conjugate roots).
Frequently Asked Questions
How does the Quadratic Equation Solver on Calcify calculate results?
The Quadratic Equation Solver on Calcify applies the verified mathematical formula: x = [ -b ± √(b² - 4ac) ] / (2a); Discriminant Δ = b² - 4ac; Vertex x_v = -b / (2a). Every input is validated in real time with multi-currency formatting to ensure zero rounding or division errors.
What key assumptions are used in the Quadratic Equation Solver?
Handles positive discriminant (two real roots), zero discriminant (repeated root), and negative discriminant (complex conjugate roots).
Can I export or share the Quadratic Equation Solver report with my own company branding?
Yes. On Calcify, you can click the Share button to share via native mobile/desktop share sheets, or click "Export Report" -> "Export with My Branding" to upload your logo, add company details, and download a custom PDF, PNG, or CSV report powered by Calcify.
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