Quadratic Formula Calculator
Solve quadratic equations of the form $ax^2 + bx + c = 0$ using the quadratic formula.
How to Use:
1. Identify the coefficients a, b, and c from your quadratic equation ($ax^2 + bx + c = 0$).
2. Enter the values for a, b, and c in the fields below.
3. The calculator will instantly display the solutions (roots) for x.
Note: Ensure you enter the correct signs for a, b, and c.
The Quadratic Formula
A quadratic equation in the form $ax^2 + bx + c = 0$ can be solved using the quadratic formula:
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
The expression inside the square root, $b^2 - 4ac$, is called the discriminant. It determines the nature of the roots:
- If $b^2 - 4ac > 0$, there are two distinct real roots.
- If $b^2 - 4ac = 0$, there is exactly one real root (a repeated root).
- If $b^2 - 4ac < 0$, there are two complex conjugate roots.
Solutions for x
-
-
Calculation Steps
Enter the coefficients a, b, and c above. The solutions will appear automatically.