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Mathematics

Equation solver

Solve quadratic equations of the form ax² + bx + c = 0.

Your result

Complete the fields and calculate.

Calculation method and formula

Coefficient a × x² + Coefficient b × x + Coefficient c = 0

Understand the inputs

Coefficient a
Use a measured value or your own assumption.
Coefficient b
Use a measured value or your own assumption.
Coefficient c
Use a measured value or your own assumption.

Assumptions and limitations

Calculations use real numbers. Logarithms require positive arguments; roots and powers are not defined for every combination. Trigonometric angles are entered in degrees.

The formula uses the specified units. Displayed numbers are rounded; whole packs, item counts and full time periods may also be rounded within the calculation.

Worked example

Illustrative values. Replace them with your own inputs for your calculation.

Coefficient a
1
Coefficient b
-5
Coefficient c
6
Example resultx₁ = 3 · x₂ = 2

The result was calculated directly from your entries.

Model revision: October 17, 2026 · How CleverCalc works

FAQ

Frequently asked questions

How does Equation solver work?+

Coefficient a × x² + Coefficient b × x + Coefficient c = 0. Calculations use real numbers. Logarithms require positive arguments; roots and powers are not defined for every combination. Trigonometric angles are entered in degrees.

What assumptions should I consider for this result?+

Calculations use real numbers. Logarithms require positive arguments; roots and powers are not defined for every combination. Trigonometric angles are entered in degrees. The formula uses the specified units. Displayed numbers are rounded; whole packs, item counts and full time periods may also be rounded within the calculation.

How accurate is the result?+

The formula uses the specified units. Displayed numbers are rounded; whole packs, item counts and full time periods may also be rounded within the calculation. Prices, measurements and model assumptions determine how well the result represents your situation.

Is this calculator free?+

Yes. Calculations and PDF export work without an account or registration.

What happens to my inputs?+

Calculations run in your browser. Results are saved locally only when you add them to My results; favourites and history are also local. Shared links contain your values. The currency tool requests the selected currencies from its rate provider without sending your amount.

Toolbox

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