Math Calculators
Quadratic Equation Solver
Solve any quadratic equation of the form ax² + bx + c = 0 instantly. Our solver uses the quadratic formula to find real and complex roots, and shows you the discriminant so you understand the nature of the solutions.
ax² + bx + c = 0
Discriminant (Δ)
1
Nature
Two distinct real roots
x₁
3
x₂
2
Step-by-step:
Given: 1x² + (-5)x + (6) = 0
Discriminant Δ = b² - 4ac = (-5)² - 4(1)(6) = 1
x₁ = (-b + √Δ) / 2a = (5 + 1.0000) / 2 = 3
x₂ = (-b - √Δ) / 2a = (5 - 1.0000) / 2 = 2
How to Use
- Enter the coefficients a, b, and c of your quadratic equation.
- View the discriminant, roots, and detailed solution steps.