Solve ax² + bx + c = 0 with Bhaskara. Useful for solving real or complex roots, analyzing the delta before interpreting the roots and validating exercise and study of quadratic function.

When to use it

solve real or complex roots: It helps to quickly check the solutions of the equation without assembling everything by hand.
analyze the delta before interpreting the roots: Shows whether there are two real roots, a double root, or complex roots.
validate exercise and study of quadratic function: It serves to compare calculated results with theoretical development.

How to read the result

Delta indicates whether there are two real roots, a double root, or complex roots.
The roots show the points where the function crosses the axis or the solutions of the equation.
Read delta and roots together to understand the full algebraic picture.

Inputs that deserve attention

Coefficient a: Defines the curvature of the parabola and cannot be zero to maintain the quadratic equation. If a is zero, the problem is no longer quadratic and the interpretation changes.
Coefficients b and c: They complete the expression that will be used in the delta and roots. Negative signs greatly alter the delta and the position of the roots.
Delta and roots: They show the nature of the solution and the final value of the roots. Negative delta generates complex roots; do not treat this case as an error automatically.

Method used

The calculation uses the Bhaskara formula from the coefficients a, b and c.
When delta is negative, the tool exposes complex roots in the form a ± bi.

Limits and validation

The tool solves the isolated equation, but does not replace the graphical or contextual analysis of the function.
Visual rounding can hide very small differences in borderline cases.
The tool shows delta and roots in separate panels, making it easier to check.

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FAQ

How to use quadratic equation?

Fill in the mandatory fields and the result appears automatically without having to submit a form.

Are the values approximate?

Calculations follow standard formulas and rounding to two places when applicable. Use as a simulation.