x²

Quadratic Formula Calculator

Solve quadratic equations: ax² + bx + c = 0

Coefficient a (x²)

Coefficient b (x)

Constant c

x = (-b ± √(b² - 4ac)) / (2a)

For equation: ax² + bx + c = 0

Δ > 0

Two distinct real roots

Parabola crosses x-axis twice

Δ = 0

One repeated real root

Parabola touches x-axis once

Δ < 0

Two complex roots

Parabola doesn't cross x-axis

x² - 5x + 6 = 0

a=1, b=-5, c=6

x = 2 or x = 3

x² + 4x + 4 = 0

a=1, b=4, c=4

x = -2 (repeated)

2x² - 3x - 2 = 0

a=2, b=-3, c=-2

x = 2 or x = -0.5

x² + x + 1 = 0

a=1, b=1, c=1

Complex roots

Physics

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