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Sum and Product of Roots Calculator
Calculate sum and product of roots of a quadratic equation ax² + bx + c = 0. Visualize the quadratic equation graph and copy results easily.
Results:
Sum of Roots ($$\alpha + \beta$$):
Product of Roots ($$\alpha \beta$$):
Quadratic Equation Visualization
Understanding Sum and Product of Roots
For a quadratic equation $$ax^2 + bx + c = 0$$, if $$\alpha$$ and $$\beta$$ are the roots, then according to Vieta's formulas:
- Sum of roots: $$\alpha + \beta = -\frac{b}{a}$$
- Product of roots: $$\alpha \beta = \frac{c}{a}$$
These formulas provide a quick way to find the sum and product of the roots without actually solving for the roots themselves. This tool helps you calculate these values instantly and visualize the corresponding quadratic function.