➗ Quadratic Equation Solver
Instantly Solve $ax^2 + bx + c = 0$ and Visualize the Parabola
Understanding the Quadratic Formula
A quadratic equation is a polynomial of the second degree, commonly written as $ax^2 + bx + c = 0$. Finding the **roots** (the values of $x$ that make the equation true, or the x-intercepts of the parabola) is achieved using the **quadratic formula**:
$$x = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}$$
The value inside the square root, $b^2 – 4ac$, is called the **discriminant**. It determines if the equation has two real roots, one real root, or two complex roots. Use this **online quadratic solver** tool on QuickCalculators.in to explore all possibilities!
Enter Coefficients
x²
x
= 0
Calculation Results
Discriminant ($\Delta$): —
Root $x_1$:
—
Root $x_2$:
—
Parabola Visualization
The graph shows the parabola defined by $y = ax^2 + bx + c$. Roots are marked as black dots (x-intercepts).