Solve 2x² + 5x − 3 = 0
Solve a quadratic equation with a leading coefficient other than 1.
Solution
- Equation 2x² + 5x − 3 = 0
- Vertex (h, k) = (−b/2a, c − b²/4a) = (-1.25, -6.125)
- Axis of symmetry x = -1.25
- Discriminant Δ = b² − 4ac = (5)² − 4·2·-3 = 49
- Formula x = (−b ± √Δ) / (2a)
- x₁ (−(5) + √49) / (2·2) = 0.5
- x₂ (−(5) − √49) / (2·2) = -3
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