Discriminant

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is a value that determines the nature of the roots of a quadratic equation, calculated as b² - 4ac.
2.
FLASHCARD QUESTION
Front
How do you calculate the discriminant for the equation -2x² - x - 1 = 0?
Back
The discriminant is calculated as (-1)² - 4(-2)(-1) = 1 - 8 = -7.
3.
FLASHCARD QUESTION
Front
If a function has a discriminant of 4, how many x-intercepts does it have?
Back
It has 2 x-intercepts.
4.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate about the roots of a quadratic equation?
Back
A positive discriminant indicates that the quadratic equation has two distinct real roots.
5.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate about the roots of a quadratic equation?
Back
A negative discriminant indicates that the quadratic equation has no real roots, only complex roots.
6.
FLASHCARD QUESTION
Front
What does a discriminant of zero indicate about the roots of a quadratic equation?
Back
A discriminant of zero indicates that the quadratic equation has exactly one real root (a repeated root).
7.
FLASHCARD QUESTION
Front
In the quadratic equation y = ax² + bx + c, what are the coefficients a, b, and c?
Back
a is the coefficient of x², b is the coefficient of x, and c is the constant term.
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