Quadratic equation
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Discriminant1
Rootsx₁ = 2, x₂ = 1
Vertex(1.5, -0.25)
Formula
ax² + bx + c = 0
Worked example
Given: a = 1; b = -3; c = 2
Result: Discriminant = 1; Roots = x₁ = 2, x₂ = 1; Vertex = (1.5, -0.25)
How it is calculated
1. Enter the values you know. 2. The calculator converts them to base units and applies the formula. 3. The result is shown in the unit you choose.
Frequently asked questions
How do I calculate it?
Formula: ax² + bx + c = 0. Given: a = 1; b = -3; c = 2. Result: Discriminant = 1; Roots = x₁ = 2, x₂ = 1; Vertex = (1.5, -0.25).
Is the calculator free and private?
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