Quadratic Equation Solver
Solve ax² + bx + c = 0 and get step-by-step roots
x² +
x +
= 0
How to use the Quadratic Equation Solver
A quadratic equation is a second-order polynomial equation in a single variable. To use this solver, identify the coefficients **a**, **b**, and **c** from your equation (e.g., in $2x^2 + 4x - 6 = 0$, a=2, b=4, and c=-6). Enter these values into the respective fields and click **"Solve Equation"**. Our tool uses the standard quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. It first calculates the discriminant ($b^2 - 4ac$) to determine the nature of the roots (real or imaginary) and then provides the final values of x along with the calculation steps.
- Automatic Formula: No need to manually plug in numbers.
- Nature of Roots: Tells you if the roots are real, equal, or complex.
- Educational: Shows the discriminant calculation, which is key for exam marks.
What happens if the discriminant is negative? +
If $b^2 - 4ac$ is negative, the equation has no real roots. Instead, it has two complex (imaginary) roots. Our solver will notify you if the results are imaginary.
Can 'a' be zero? +
No, 'a' cannot be zero. If a=0, the equation is no longer quadratic; it becomes a linear equation ($bx + c = 0$). The tool will ask for a valid value if 'a' is zero.
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