1. What is the Numerical Coefficient 'c' of Quadratic Equation?

The Numerical Coefficient 'c' of Quadratic Equation is the constant term or a constant multiplier of the variables raised to the power zero in a Quadratic Equation. It represents the y-intercept of the quadratic function when graphed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Numerical Coefficient b of Quadratic Equation
• \( D \) — Discriminant of Quadratic Equation
• \( a \) — Numerical Coefficient a of Quadratic Equation

Explanation: This formula calculates the constant term 'c' in a quadratic equation using the other coefficients and the discriminant.

3. Importance of Numerical Coefficient 'c' Calculation

Details: The constant term 'c' is crucial in determining the y-intercept of the quadratic function and plays a significant role in analyzing the behavior and properties of quadratic equations.

4. Using the Calculator

Tips: Enter the values for coefficient b, discriminant D, and coefficient a. Ensure that coefficient a is not zero to avoid division by zero error.

5. Frequently Asked Questions (FAQ)

Q1: Why is coefficient 'c' important in quadratic equations?
A: Coefficient 'c' determines the y-intercept of the parabola and affects the position of the graph on the coordinate plane.

Q2: What happens if coefficient 'a' is zero?
A: If coefficient 'a' is zero, the equation becomes linear rather than quadratic, and this formula cannot be used.

Q3: Can coefficient 'c' be negative?
A: Yes, coefficient 'c' can be negative, positive, or zero depending on the values of b, D, and a.

Q4: How does the discriminant affect coefficient 'c'?
A: The discriminant value directly influences the calculation of coefficient 'c' through the formula.

Q5: Is this formula applicable to all quadratic equations?
A: This formula specifically calculates coefficient 'c' when you know coefficients a, b and the discriminant D.