Quadratic Equation Solver

Solve ax² + bx + c = 0 using the quadratic formula with discriminant analysis.

1x² + (-5)x + (6) = 0

a (x² coefficient)

b (x coefficient)

c (constant)

Discriminant (D)

1.0000

Root type

Two real roots

x 1

3.000000

x 2

2.000000

How it works

x = (−b ± √(b² − 4ac)) / 2a

Discriminant D = b² − 4ac: D > 0 → two real roots; D = 0 → one repeated root; D < 0 → complex roots.

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