Math & Statistics Tools
Quadratic Equation Solver
Solve ax^2 + bx + c = 0 with real and complex roots, discriminant, and vertex.
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What is Quadratic?
The quadratic formula x = (-b +/- sqrt(b^2 - 4ac)) / 2a finds roots of any quadratic. The discriminant determines root type.
How it works
We compute discriminant = b^2 - 4ac, then apply the quadratic formula. Complex roots are shown in a+bi form. We also compute vertex.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- Copy or download. Use the Copy button to grab the result, or Download to save it as a file.
Examples
Realistic sample
Type or paste any realistic input — the tool computes the result locally and instantly.
Common mistakes
Expecting a server round-trip
Nothing is uploaded — every tool in this category runs entirely in your browser.