Quadratic Equation Solver

📊 Enter Coefficients

ax² + bx + c = 0

Enter values for a, b, and c below

a (coefficient of x²)

b (coefficient of x)

c (constant)

1

Enter coefficients - Input values for a, b, and c in the equation ax² + bx + c = 0

2

Calculate discriminant - The formula Δ = b² - 4ac determines root behavior

3

Apply quadratic formula - x = (-b ± √Δ) / 2a

The Quadratic Formula

x = (-b ± √(b² - 4ac)) / 2a

Discriminant Analysis

Δ > 0 → Two distinct real roots
Δ = 0 → One repeated real root
Δ < 0 → Two complex conjugate roots

Equation	a	b	c	Solutions
x² - 5x + 6 = 0	1	-5	6	x = 2, x = 3
x² + 4x + 4 = 0	1	4	4	x = -2 (double)
x² + x + 1 = 0	1	1	1	Complex roots