Quadratic Equation Solver
Solve ax² + bx + c = 0 with step-by-step working — formula, factoring, completing the square.
x²
x
constant
x² − 5x + 6 = 0
Discriminant (D = b² − 4ac)1D > 0
Two distinct real roots
x₁ (5 + 1) / 2 ≈ 3
x₂ (5 − 1) / 2 ≈ 2
Vertex(2.5, -0.25)
Axis of Symmetryx = 2.5
Y-intercept(0, 6)
Parabola OpensUpward
Vertex Formy = (x − 2.5)² − 0.25
Vieta's Formulas
x₁ + x₂ =−b/a = −(-5)/1 = 5x₁ × x₂ =c/a = 6/1 = 6