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Quadratic equation

Discriminant Δ = b² − 4ac. Yields two distinct real roots when Δ > 0, one repeated root when Δ = 0, and no real roots when Δ < 0. If a = 0 and b ≠ 0, it solves the linear equation x = −c/b.

Root x₁
3
Root x₂
2
Discriminant (Δ)
1

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x² − 5x + 6 = 0 has Δ = 1 and roots x₁ = 2, x₂ = 3.

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