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The discriminant is essential in quadratic equations for determining the nature of the roots. For the quadratic equation \(ax^2 + bx + c = 0\), the discriminant is calculated as \(b^2 - 4ac\).

The value of the discriminant indicates:

If \(D > 0\): Two distinct real roots.

If \(D = 0\): One real root (repeated).

If \(D < 0\): No real roots.

Algebra 2

Quadratic Equations