Discriminant
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Medium
Standards-aligned
Wayground Content
Used 1+ times
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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.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate?
Back
A positive discriminant indicates that the quadratic equation has two distinct real solutions.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What does a discriminant of zero indicate?
Back
A discriminant of zero indicates that the quadratic equation has exactly one real solution (a repeated root).
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate?
Back
A negative discriminant indicates that the quadratic equation has no real solutions, but two complex solutions.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
Calculate the discriminant for the equation 3x² + 6x + 2 = 0.
Back
D = b² - 4ac = 6² - 4(3)(2) = 36 - 24 = 12 (positive, two real solutions).
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
Calculate the discriminant for the equation x² - 4x + 4 = 0.
Back
D = b² - 4ac = (-4)² - 4(1)(4) = 16 - 16 = 0 (one real solution).
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
Calculate the discriminant for the equation 2x² + 4x + 5 = 0.
Back
D = b² - 4ac = 4² - 4(2)(5) = 16 - 40 = -24 (negative, no real solutions).
Tags
CCSS.HSA-REI.B.4B
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