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Coefficient a (Scale: 1)1

Coefficient b (Scale: -5)-5

Coefficient c (Scale: 6)6

Discriminant (D)1

Vertex Coordinate(2.50, -0.25)

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Roots: x₁ = 3.000, x₂ = 2.000

1Identify coefficients from standard form ax² + bx + c = 0: a = 1, b = -5, c = 6.
2Compute Discriminant D = b² - 4ac = (-5)² - 4 × (1) × (6) = 25 - 24 = 1.
3D > 0, roots are real and distinct.
4x₁ = (-b + √D) / 2a = (-(-5) + 1.000) / 2 = 6.000 / 2 = 3.000.
5x₂ = (-b - √D) / 2a = (-(-5) - 1.000) / 2 = 4.000 / 2 = 2.000.

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