Coefficients
Live updatex² − 5x + 6 = 0
Step-by-step working
Roots
x₁
3 + 0i
x₂
2 + 0i
Discriminant
Δ
D = b²−4ac
1
D > 0 → two real roots
Vertex
(h , k)
(2.5, −0.25)
Axis: x = 2.5
Y-int: 6
Nature
Two distinct real roots
Opens upward • Parabola
x₁ = 3 + 0i, x₂ = 2 + 0i
Graph
Parabola
Vertex
Roots
Automatic window centered at vertex.
Test Suite — solveQuadratic()
Validates the refined TypeScript implementation against 5 Jest cases.