Online quadratic equation solver
This page will help you to solve quadratic equations like \(ax^2 + bx + c = 0\).
Type your coefficient \(a\), \(b\) an \(c\) below, the result will be updated automaticaly.
The details of the roots calculation can be found on this page.
Online calculator
$$ ax^2 + bx + c = 0 \notag $$
Check the values of a, b and c. At least one of them is not a number.
Standard form
Discriminant
$$ \Delta = b^2-4ac \notag $$
- If Δ > 0 => two distinct real roots.
- If Δ = 0 => one repeated real root.
- If Δ < 0 => two complex roots.
Two distinct complex roots
$$ x_1 = \dfrac{-b - i \sqrt{-\Delta}}{2a} \notag $$
$$ x_2 = \dfrac{-b + i \sqrt{-\Delta}}{2a} \notag $$
Graph
See also
Last update : 09/27/2022