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Quadratic equation solver
Solve ax² + bx + c = 0: real or complex roots, discriminant and vertex.
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About Quadratic equation solver
Solves ax squared + bx + c = 0 with the quadratic formula, showing the discriminant b squared - 4ac, real or complex roots and the vertex. A positive discriminant gives two real roots, zero gives one repeated root, and a negative one gives a complex pair.
How to use Quadratic equation solver
- Enter the coefficients a, b and c of your equation.
- Make sure the equation is arranged as ax squared plus bx plus c equals 0.
- Read the roots, the discriminant and the vertex.
Why use this tool?
- Private: everything happens in your browser. Nothing you enter is uploaded.
- Free, with no sign-up, no watermark and no limit on how often you use it.
- Works on phones, tablets and computers: Android, iPhone, Windows, Mac and Linux. Nothing to install.
- Free to embed on your own website, with a ready-made code to copy.
- Available in 10 languages.
Also known as
Frequently asked questions
What does the discriminant tell me?
Its sign tells you the kind of roots: positive means two real solutions, zero means one double solution, and negative means two complex conjugate solutions with no x-axis crossing.
What if a is 0?
Then the equation is not quadratic but linear, and the quadratic formula would divide by zero. Solve it as bx + c = 0 instead.
What is the vertex of a parabola?
It is the turning point, the lowest point if a is positive and the highest if a is negative. Its x-coordinate is minus b divided by 2a.
Is Quadratic equation solver free?
Yes. Quadratic equation solver on Toolipedia is free to use, with no sign-up and no watermark.
Is it safe to use?
Yes. Everything is worked out in your browser, and nothing you enter is sent to our server.
Does it work on my phone?
Yes. It works in any modern browser on Android and iPhone, as well as on tablets and computers. There's nothing to install.
Do I need an account?
No. Just open the page and use the tool. There's no sign-up and no email needed.
Can I put Quadratic equation solver on my own website?
Yes. Use the Embed on your site button under the tool to copy a short piece of code and paste it into your page. It is free, needs no account, and the tool keeps working inside your page.