When Δ < 0, roots are complex conjugates a ± bi.

Discriminant Calculator

When Δ < 0, roots are complex conjugates a ± bi.

Calculate discriminant and nature of roots

a (x² coeff)

b (x coeff)

c (constant)

Formula

Δ = b² - 4ac

The discriminant determines the nature of quadratic roots.

Δ=1, roots: x=3, x=2.

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