Discriminant

D = b²−4ac — formula, number of roots, and practice trainer.

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Discriminant — Key Facts

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Frequently Asked Questions

What is the discriminant?

The discriminant of ax²+bx+c=0 is D = b²−4ac. It tells how many real roots the equation has.

How does the discriminant determine the number of roots?

D > 0: two roots. D = 0: one root. D < 0: no real roots.

What is the quadratic formula?

x = (−b ± √D) / (2a), where D = b²−4ac.