Solve x² − 3x + 2 = 0
Solve a quadratic equation by computing the discriminant and applying the quadratic formula.
Solution
- Equation 1x² − 3x + 2 = 0
- Vertex (h, k) = (−b/2a, c − b²/4a) = (1.5, -0.25)
- Axis of symmetry x = 1.5
- Discriminant Δ = b² − 4ac = (-3)² − 4·1·2 = 1
- Formula x = (−b ± √Δ) / (2a)
- x₁ (−(-3) + √1) / (2·1) = 2
- x₂ (−(-3) − √1) / (2·1) = 1
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