Quadratic Equation Calculator
Solve quadratic equations (ax² + bx + c = 0) with step-by-step solutions.
※ Use if necessary
Quadratic Equation Calculator
Solve quadratic equations with detailed step-by-step solutions. Enter the coefficients a, b, and c.
These results are for reference only and were developed for educational and testing purposes. You can also directly access and review the source code, including the logic and free APIs used on this page.
Calculation Results
Quadratic Equation Calculator Guide
The Quadratic Equation Calculator is a tool designed to solve quadratic equations of the form ax² + bx + c = 0 with detailed step-by-step solutions. This guide provides instructions for using the calculator and objective information about quadratic equations.
How to Use the Quadratic Equation Calculator
Follow these steps to solve a quadratic equation:
- Enter Coefficients: Input the values for coefficients a, b, and c.
- Calculate: Click "Calculate" to view the roots and detailed solution steps.
- Review Results: Examine the calculated roots, formula used, and step-by-step solution.
About Quadratic Equations
Quadratic equations are second-degree polynomial equations of the form ax² + bx + c = 0.
Formula
- a, b, c: Coefficients of the quadratic equation
- Calculates real and complex roots
- Discriminant (b² - 4ac) determines the nature of roots
- For a ≠ 0 only
Mathematical Concepts
- Second-degree polynomial equations
- Graph as parabolas
- Can have 0, 1, or 2 real solutions
- Solutions are called roots or zeros
Final Tips for Using the Calculator
- Ensure coefficient a is not zero.
- Enter all coefficients accurately, including negative values.
- Review the step-by-step solution to understand the calculation process.
- For complex roots, note the imaginary components.
The calculator provides solutions based on the quadratic formula. For specialized applications, consult additional references.