Quadratic equation solver (ax²+bx+c=0)
Solve ax² + bx + c = 0: discriminant, real or complex roots, vertex.
x² +x += 0
Discriminant (Δ)
1
Vertex
(1.5 ; -0.25)
Root x1
2
Root x2
1
🔒 100% client-side — no data sent
Solve a quadratic equation ax² + bx + c = 0: enter the coefficients and get the discriminant, the roots (real or complex conjugate) and the vertex of the parabola. The calculation is instant, in your browser.
What is it for?
- ▸ Solve a math homework problem
- ▸ Find the roots of a quadratic polynomial
- ▸ Compute the discriminant and vertex
- ▸ Check a hand solution
FAQ
What does the discriminant mean?
Δ = b² − 4ac: if positive there are two real roots, if zero a double root, if negative two complex conjugate roots.
What happens if a = 0?
The equation becomes linear (bx + c = 0) and the tool returns the single solution x = −c/b.
Are complex roots handled?
Yes, if the discriminant is negative, the tool shows the two complex conjugate roots as a ± bi.
Is my data sent anywhere?
No, everything works locally in your browser.
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