Quadratic Formula Calculator
Find real and complex roots for quadratic equations ax² + bx + c = 0.
Input Parameters
Calculation Results
Formula & How Quadratic Formula Calculator Works
The quadratic formula gives the solutions to ax² + bx + c = 0. The discriminant Δ = b² - 4ac determines if roots are real (Δ ≥ 0) or complex (Δ < 0).
- Enter Coefficient a (x²): Input your target parameter value.
- Enter Coefficient b (x): Input your target parameter value.
- Enter Constant c: Input your target parameter value.
- Apply Formula: Calculate using
x = (-b ± √(b² - 4ac)) / (2a). - Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)
What does discriminant Δ = 0 mean?
There is exactly one real repeated root: x = -b / (2a).
Authoritative Standards & Verified Reference Citations
Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:
Open government data, scientific datums, and public sector mathematical reference datasets.
Australia's national authority on physical, chemical, and biological metric measurement standards.
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