Quadratic Equation Solver
Solve any quadratic equation of the form ax squared plus bx plus c equals zero. Enter the three coefficients a, b and c, and the calculator applies the quadratic formula to find the roots, correctly handling all three cases: two distinct real roots, one repeated real root, or a pair of complex conjugate roots when the discriminant is negative. It also shows the discriminant itself and the coordinates of the vertex, which together describe the whole parabola. Seeing the discriminant makes it clear why an equation has the number of real solutions it does. This is a staple of algebra and physics. Enter your coefficients and the full solution appears instantly, computed locally in your browser with nothing sent anywhere.
How to use Quadratic Equation Solver
- Enter coefficient a.
- Enter coefficient b.
- Enter coefficient c.
- Read the roots and the discriminant.
Frequently asked questions
What form of equation does it solve?
It solves any quadratic in the form a x squared plus b x plus c equals zero, given the coefficients a, b and c.
What does the discriminant tell me?
The discriminant b squared minus 4 a c decides the roots: positive gives two real roots, zero gives one repeated root, and negative gives two complex roots.
Does it handle complex roots?
Yes. When the discriminant is negative it returns the two complex conjugate roots rather than failing.
What is Quadratic Equation Solver?
Solve any quadratic equation of the form ax squared plus bx plus c equals zero. Enter the three coefficients a, b and c, and the calculator applies the quadratic formula to find the roots, correctly handling all three cases: two distinct real roots, one repeated real root, or a pair of complex conjugate roots when the discriminant is negative.
Is Quadratic Equation Solver free to use?
Yes. Quadratic Equation Solver is completely free, with no sign-up and no usage limits.
Does Quadratic Equation Solver work in a web browser?
Yes. Quadratic Equation Solver runs in any modern web browser. There is nothing to download or install.
Is my data private with Quadratic Equation Solver?
Yes. Quadratic Equation Solver runs entirely on your device in your browser, so nothing you enter is uploaded to a server.
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