Discriminant
Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c. It is given by the formula D = b² - 4ac.
2.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate about the solutions of a quadratic equation?
Back
A positive discriminant indicates that the quadratic equation has two distinct real solutions.
3.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate about the solutions of a quadratic equation?
Back
A negative discriminant indicates that the quadratic equation has no real solutions, but two complex solutions.
4.
FLASHCARD QUESTION
Front
What does a zero discriminant indicate about the solutions of a quadratic equation?
Back
A zero discriminant indicates that the quadratic equation has exactly one real solution, also known as a repeated or double root.
5.
FLASHCARD QUESTION
Front
Given the quadratic equation 4x² - 8x - 3 = 0, identify a, b, and c.
Back
a = 4, b = -8, c = -3.
6.
FLASHCARD QUESTION
Front
Calculate the discriminant for the equation y = x² + 4x + 4.
Back
D = 4² - 4(1)(4) = 16 - 16 = 0.
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in relation to the graph of a quadratic function?
Back
The discriminant helps determine the number of x-intercepts (real solutions) of the quadratic function's graph.
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