Quadratic Equation Solver
Enter the coefficients of ax² + bx + c = 0 to find its roots.
Solve for x in ax² + bx + c = 0
Roots
x₁ = 2.0000, x₂ = 1.0000
Discriminant
1.0000
Axis of symmetry
x = 1.5000
Vertex
(1.50, -0.25)
How it's calculated
Roots are found with the quadratic formula: x = (−b ± √(b² − 4ac)) ÷ 2a. When the discriminant (b² − 4ac) is negative, the roots are complex.