
Quadratic Formula and Discriminant
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What does the discriminant tell us about a quadratic equation?
Back
The discriminant (D = b² - 4ac) indicates the nature of the roots of the quadratic equation: D > 0 means 2 real solutions, D = 0 means 1 real solution, and D < 0 means no real solutions.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
Calculate the discriminant for the equation: x² - 4x + 4 = 0
Back
D = b² - 4ac = (-4)² - 4(1)(4) = 0.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the value of the discriminant for the equation: 2x² + 3x + 1 = 0?
Back
D = b² - 4ac = (3)² - 4(2)(1) = 1.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
How many solutions does the equation x² + 2x + 1 = 0 have?
Back
The discriminant is 0, so there is 1 solution.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the discriminant of the equation: 5x² - 3x + 2 = 0?
Back
D = (-3)² - 4(5)(2) = 9 - 40 = -31, so there are no real solutions.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
If the discriminant is positive, what can we conclude about the roots?
Back
If the discriminant is positive, the quadratic equation has 2 distinct real solutions.
Tags
CCSS.HSA-REI.B.4B
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