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Quadratic equations describe projectile motion, satellite dish shapes, and optimal pricing points in business. The formula solves any case.
The Formula
x = (−b ± √(b²−4ac)) ÷ 2a | Discriminant = b²−4ac
Standard formula used by professionals worldwide
Worked Example
Step-by-step
Ball thrown up: h = −5t²+20t+1, when does it land? Solve for t → 4.05 seconds
Key Concepts
- Accuracy: Results are as accurate as the inputs you provide
- Units: Always use consistent units throughout your calculation
- Verification: Double-check important calculations before making decisions
- Professional advice: For major financial, health, or structural decisions, consult a qualified professional
Privacy and Security
- All calculations run entirely in your browser
- No data is sent to any server
- No sign-up or personal information required
- Your data stays private — always
Frequently Asked Questions
Business use of quadratics?
Revenue = price × quantity (demand curve) — a quadratic. Maximise by finding vertex at x=−b÷2a.
What shape is a quadratic?
A parabola — satellite dishes, headlight reflectors, suspension cables.
Verify roots?
Substitute back into equation. If result equals zero, the root is correct.