What you provide
What you provide
- Quadratic coefficient a, using the same scenario as the other inputs
- Linear coefficient b, using the same scenario as the other inputs
- Constant c, using the same scenario as the other inputs
MATH / ALGEBRA
Quadratic Roots Calculator
Calculate both real roots of a quadratic equation. Inspect the equation, substituted values, result, and interpretation limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate both real roots of a quadratic equation. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
x=(-b+sqrt(b^2-4ac))/(2a)
What you receive
What you receive
- Larger real root from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The coefficient a is nonzero and this page reports real roots only.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors