Zeros of Quadratic Function Calculator
Introduction & Importance
Zeros of a quadratic function are the values of x that make the function equal to zero. Understanding and calculating these zeros is crucial in various fields, including physics, engineering, and economics.
How to Use This Calculator
- Enter the coefficients A, B, and C of your quadratic function (Ax² + Bx + C).
- Click ‘Calculate’.
- View the results below the calculator.
Formula & Methodology
The formula to find the zeros of a quadratic function is:
x = [-B ± sqrt(B² – 4AC)] / (2A)
This calculator uses this formula to find the zeros of your input function.
Real-World Examples
Data & Statistics
| Function | Zero 1 | Zero 2 |
|---|---|---|
| x² – 5x + 6 | 2 | 3 |
| 2x² – 8x + 5 | 1 | 2.5 |
Expert Tips
- Always check the discriminant (B² – 4AC) to determine the nature of the roots.
- For real and distinct roots, the discriminant should be positive.
- For real and repeated roots, the discriminant should be zero.
Interactive FAQ
What are the roots of a quadratic equation?
The roots of a quadratic equation are the values of x that satisfy the equation.