Discriminant
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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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, given by the formula D = b² - 4ac.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
If the discriminant is greater than 0, how many solutions does the quadratic equation have?
Back
2 Real solutions.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
If the discriminant is less than 0, how many solutions does the quadratic equation have?
Back
2 Imaginary solutions.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What does a discriminant of 0 indicate about the solutions of a quadratic equation?
Back
It indicates that there is 1 real solution (a repeated root).
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
Calculate the discriminant for the quadratic equation: 2x² + 4x + 2 = 0.
Back
D = 4² - 4(2)(2) = 16 - 16 = 0.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
Identify the values of a, b, and c in the quadratic equation: 5x² - 10x + 5 = 0.
Back
a = 5, b = -10, c = 5.
7.
FLASHCARD QUESTION
Front
What is the significance of the discriminant in relation to the graph of a quadratic function?
Back
The discriminant determines the number and type of x-intercepts (real solutions) of the graph.
Tags
CCSS.HSA-REI.B.4B
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