Quadratic Formula Calculator
Solve quadratic equations of the form ax² + bx + c = 0 instantly. Supports real, repeated, and complex (imaginary) roots.
Coefficients
For equation: ax² + bx + c = 0
Understanding the Discriminant (Δ)
The value b² - 4ac determines the number and type of solutions.
Positive (Δ > 0)
The parabola crosses the x-axis twice. There are two distinct real solutions.
Zero (Δ = 0)
The vertex touches the x-axis. There is one repeated real solution.
Negative (Δ < 0)
The parabola never touches the x-axis. There are two complex (imaginary) solutions.
Frequently Asked Questions
Frequently Asked Questions
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