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
Possible Answers:
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:


Discriminant: 441
Two genuine roots:


Discriminant: 281
Two imaginary roots:

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