What is the discriminant in a quadratic equation?
Discriminant

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The discriminant is a value calculated from the coefficients of a quadratic equation in the form ax² + bx + c, given by the formula D = b² - 4ac. It helps determine the nature of the roots.
2.
FLASHCARD QUESTION
Front
If the discriminant is greater than zero, what can be said about the solutions of the quadratic equation?
Back
There are two distinct real solutions.
3.
FLASHCARD QUESTION
Front
If the discriminant is equal to zero, what does this indicate about the solutions?
Back
There is exactly one real solution, also known as a repeated or double root.
4.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate about the solutions of a quadratic equation?
Back
There are no real solutions; the solutions are complex or imaginary.
5.
FLASHCARD QUESTION
Front
Calculate the discriminant for the quadratic equation 3x² + 6x + 2 = 0.
Back
D = 6² - 4(3)(2) = 36 - 24 = 12 (positive, so two real solutions).
6.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in graphing a quadratic function?
Back
The discriminant helps determine the number of x-intercepts (real solutions) of the graph of the quadratic function.
7.
FLASHCARD QUESTION
Front
How does the value of the discriminant affect the vertex of the parabola?
Back
The discriminant does not directly affect the vertex, but it indicates whether the parabola intersects the x-axis at 0, 1, or 2 points.
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