How to use the sum and product of roots calculator
Find the sum and product of the roots of a quadratic without solving it, using Vieta formulas. Enter coefficient a, coefficient b, constant c in the fields above; the sum of roots, product of roots are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “Vieta formulas”, “sum of roots”, “product of roots quadratic”, “calculate sum and product of roots”, “find sum of roots”.
Formula
Variables
- a — Coefficient a
- b — Coefficient b
- c — Constant c
Worked example
With coefficient a = 2, coefficient b = -6, constant c = 4, the calculator gives sum of roots ≈ 3; product of roots ≈ 2.
Frequently asked questions
What is the sum and product of roots calculator used for?
Find the sum and product of the roots of a quadratic without solving it, using Vieta formulas. It helps with questions such as “Vieta formulas”, “sum of roots”, “product of roots quadratic”.
What is the formula for the sum and product of roots calculation?
Sum of roots = -b / a. Product of roots = c / a. Here a is coefficient a, b is coefficient b, c is constant c.
What inputs do I need for the sum and product of roots (vieta) calculator?
You need coefficient a, coefficient b, constant c. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the sum and product of roots calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the sum and product of roots result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.