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Quadratic Formula Calculator
Solve quadratic equations of the form ax² + bx + c = 0 using the quadratic formula, with step-by-step solutions.
1x² - 5x + 6 = 0
Discriminant (Δ)
1
Real roots
Root x₁
3
Root x₂
2
Step-by-Step
Equation: 1x² + -5x + 6 = 0
Discriminant: Δ = b² - 4ac = -5² - 4(1)(6) = 1
Δ > 0 — two real roots
x = (-b ± √Δ) / (2a)
x₁ = (--5 + √1) / (2 × 1) = 3
x₂ = (--5 - √1) / (2 × 1) = 2
Quadratic Formula
x = (-b ± √(b² - 4ac)) / (2a)