Quadratic Formula
ax² + bx + c = 0
Enter coefficients to solve quadratic equations step by step.
1x² + -3x + 2 = 0
Solutions (roots)
x = 2, x = 1
Discriminant (Δ)
1
Step 1: Calculate discriminant
Δ = b² - 4ac = (-3)² - 4(1)(2) = 9 - 8 = 1
Step 2: Apply quadratic formula
x = [3 ± √1] / 2 = [3 ± 1] / 2
Step 3: Find roots
x₁ = (3 + 1)/2 = 2, x₂ = (3 - 1)/2 = 1