Quadratic Solver
Solve ax² + bx + c = 0 with discriminant and vertex.
1x² − 3x + 2 = 0
Discriminant
1
Nature
2 real roots
Vertex
(1.5, -0.25)
Roots
Two real roots: x₁ = 2 x₂ = 1
Working
Δ = b² − 4ac = -3² − 4·1·2 = 1 x = (−b ± √Δ) / 2a = (3 ± 1) / 2
Solve ax² + bx + c = 0 with discriminant and vertex.
Two real roots: x₁ = 2 x₂ = 1
Δ = b² − 4ac = -3² − 4·1·2 = 1 x = (−b ± √Δ) / 2a = (3 ± 1) / 2