Precalculus assist » Graphing functions » resolving Quadratic Equations » uncover roots that quadratic equation utilizing discriminant

You are watching: If the discriminant is greater than zero

True or false: for a quadratic function of type ax2 + bx + c = 0, if the discriminant b2 - 4ac = 0, over there is precisely one actual root.

Explanation:

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

b2 - 4ac > 0

b2 - 4ac = 0

b2 - 4ac 2 - 4ac Report one Error

True

False

### Example question #4 : uncover Roots of Quadratic Equation using Discriminant

Discriminant: 281

Two imaginary roots:

Discriminant: 441

Two real roots:

or

Discriminant: 441

Two actual roots:

or

Discriminant: 0

One genuine root:

Discriminant: 281

Two imaginary roots:

Report one Error

Report one Error

Report one Error

Report an Error

Report one Error

Report an Error

Report one Error

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