Precalculus aid » Graphing features » resolving Quadratic Equations » uncover roots the quadratic equation utilizing discriminant

You are watching: If the discriminant is greater than zero

True or false: because that a quadratic duty of form ax2 + bx + c = 0, if the discriminant b2 - 4ac = 0, there is exactly one genuine root.

Explanation:

This is true. The discriminant b2 - 4ac is the part of the quadratic formula that stays inside of a square root function. Together you plug in the constants a, b, and also c into b2 - 4ac and also evaluate, three cases can happen:

b2 - 4ac > 0

b2 - 4ac = 0

b2 - 4ac 2 - 4ac Report one Error

False

True

Example concern #4 : discover Roots of Quadratic Equation making use of Discriminant

Discriminant: 0

One actual root:

Discriminant: 281

Two imagine roots:

Discriminant: 441

Two actual roots:

or

Discriminant: 441

Two genuine roots:

or

Discriminant: 281

Two imaginary roots:

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