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Discriminant Calculator

Math

Find the discriminant of a quadratic equation and determine the nature of its roots.

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-100,000100,000
-100,000100,000

Discriminant

1.0000

The value b squared minus 4ac from the quadratic equation ax^2 + bx + c = 0

Nature of the roots

Two distinct real roots

What the discriminant reveals about the equation roots

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is the discriminant of a quadratic equation?

The discriminant is the value b squared minus 4ac, taken from the standard quadratic equation ax squared plus bx plus c equals 0.

What is the discriminant of x squared minus 5x plus 6 equals 0?

The discriminant is 1, since 5 squared minus 4 times 1 times 6 equals 25 minus 24.

What does the discriminant tell you about the roots?

A positive discriminant means two distinct real roots, zero means one repeated real root, and a negative discriminant means two complex roots.

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