1. What is Product of Roots of Quadratic Equation?

The product of roots of a quadratic equation is the multiplication result of the two roots (x₁ and x₂) that satisfy the equation. For a quadratic equation in the form ax² + bx + c = 0, the product of roots is equal to c/a.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( x_1 \) — First root of the quadratic equation
• \( x_2 \) — Second root of the quadratic equation
• \( P(x_1 \times x_2) \) — Product of the two roots

Explanation: This formula directly multiplies the two given roots to find their product, which is a fundamental property of quadratic equations.

3. Importance of Product of Roots Calculation

Details: Calculating the product of roots is essential for understanding the relationship between coefficients and roots in quadratic equations, solving problems in algebra, and verifying solutions.

4. Using the Calculator

Tips: Enter the values of both roots of the quadratic equation. The calculator will compute and display their product.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between product of roots and quadratic coefficients?
A: For a quadratic equation ax² + bx + c = 0, the product of roots equals c/a.

Q2: Can this calculator handle complex roots?
A: This calculator is designed for real number inputs. For complex roots, specialized mathematical software should be used.

Q3: What if both roots are zero?
A: The product will be zero, which is mathematically correct (0 × 0 = 0).

Q4: How precise are the calculations?
A: The calculator provides results with up to 4 decimal places precision.

Q5: Can I use this for cubic or higher degree equations?
A: No, this calculator is specifically designed for quadratic equations (degree 2).