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solve ax² + bx + c = 0 · discriminant · real and complex roots
[
coefficients
]
a
b
c
1x² + -5x + 6 = 0
[
roots
]
x₁ = 3 · x₂ = 2
two distinct real roots · Δ = 1
discriminant Δ = b² − 4ac = -5² − 4(1)(6) = 1
x = (−b ± √Δ) / 2a
x₁ = 3
x₂ = 2
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