Quadratic Function Given Zeros Calculator
Introduction & Importance
Quadratic functions are essential in mathematics, physics, and engineering. Understanding how to find their zeros is crucial…
How to Use This Calculator
- Enter the coefficients A, B, and C of your quadratic function (Ax² + Bx + C).
- Click ‘Calculate’.
- View the results and chart below.
Formula & Methodology
The quadratic formula to find the zeros (roots) of a quadratic function is:
x = [-B ± √(B² – 4AC)] / (2A)
Real-World Examples
Example 1: A car travels 100 miles in 4 hours. The distance d traveled can be modeled by the quadratic function d = -16t² + 40t, where t is time in hours…
Data & Statistics
| Coefficients | Zeros |
|---|---|
| 1, -6, 9 | 3, 3 |
Expert Tips
- Always check if the discriminant (B² – 4AC) is positive, negative, or zero to determine the number and type of zeros.
- For real-world applications, consider the context and physical meaning of the coefficients.
Interactive FAQ
What if the discriminant is negative?
If the discriminant is negative, the quadratic function has no real zeros. It has two complex zeros.