A quadratic solver finds the roots of ax² + bx + c = 0 using the quadratic formula. For x² - 5x + 6 = 0, the roots are x = 2 and x = 3.
A quadratic solver finds the roots of ax² + bx + c = 0 using the quadratic formula. For x² - 5x + 6 = 0, the roots are x = 2 and x = 3. Our quadratic equation solver is built on the same core quadratic formula calculator solve quadratic equation roots of quadratic equation and is trusted by students, professionals and everyday users who need a fast, accurate result. Because every calculation runs locally in your browser, there is no waiting, no sign-up and no limit on how often you use it.
The Quadratic Formula: x = [−b ± √(b²−4ac)] ÷ 2a
Solves second-degree polynomial equations by evaluating coefficients a, b, and c.
Understanding the Discriminant (Δ = b² − 4ac)
If Δ > 0, the equation has two distinct real roots. If Δ = 0, there is one repeated real root. If Δ < 0, there are two conjugate complex roots.
Parabolic Curves and Vertex Physics
Quadratic equations model parabolic projectile motion, satellite dish curvature, and profit maximization functions in economics.
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