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Quadratic Equation Solver
Solve ax² + bx + c = 0 using the quadratic formula with step-by-step solution.
1x² − 5x + 6 = 0
Coefficients
a
b
c
Examples:
Two distinct real roots (Δ > 0)
Discriminant Δ = 1
Roots
x₁
3.000000
x₂
2.000000
Sum of roots (−b/a): 5.000000
Product of roots (c/a): 6.000000
1
Equation: 1x² − 5x + 6 = 0
2
Step 1 — Calculate discriminant (Δ): Δ = b² − 4ac = -5² − 4(1)(6) = 25 − 24 = 1
3
Step 2 — Two real roots (Δ > 0): x = (−b ± √Δ) / 2a
4
x₁ = (5 + √1) / 2 = (5 + 1.0000) / 2 = 3.000000
5
x₂ = (5 − √1) / 2 = (5 − 1.0000) / 2 = 2.000000
Quadratic Formula
x = (−b ± √(b² − 4ac)) / 2a
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