What does a negative discriminant mean?
When $\Delta < 0$, the quadratic parabola has no real X-intercepts and produces two conjugate complex roots containing imaginary unit $i$.
How to Use Quadratic Equation Solver
Step 1: Enter Coefficients
Input values for $a$, $b$, and $c$ in standard form.
Step 2: View Solution
Inspect discriminant $\Delta = b^2 - 4ac$ and calculated roots ($x_1, x_2$).
Key Features & Capabilities
- Solves for both real roots and complex imaginary roots ($i$)
- Calculates vertex coordinates $(h, k)$ and axis of symmetry
- Shows full step-by-step algebraic substitution
Frequently Asked Questions
Can this solver find the parabola vertex?
Yes, it calculates vertex coordinates h = -b/(2a) and k = f(h) along with the axis of symmetry.
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