Quadratic Formula and Discriminant

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Quadratic Formula?
Back
The Quadratic Formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What does the discriminant (D) represent in a quadratic equation?
Back
The discriminant (D = b² - 4ac) determines the number and type of solutions of a quadratic equation. If D > 0, there are two real solutions; if D = 0, there is one real solution; if D < 0, there are no real solutions.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
If the discriminant is negative, what can we conclude about the solutions of the quadratic equation?
Back
If the discriminant is negative, the quadratic equation has no real solutions.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What does it mean if a quadratic graph does not intersect the x-axis?
Back
If a quadratic graph does not intersect the x-axis, it indicates that the equation has no real solutions.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How do you identify the coefficients a, b, and c in a quadratic equation?
Back
In the quadratic equation ax² + bx + c = 0, 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.
6.
FLASHCARD QUESTION
Front
Given the quadratic equation 4x² - 8x = 3, what are the values of a, b, and c?
Back
For the equation 4x² - 8x - 3 = 0, the values are a = 4, b = -8, c = -3.
7.
FLASHCARD QUESTION
Front
What is the significance of the value of the discriminant in determining the nature of the roots?
Back
The value of the discriminant indicates whether the roots are real or complex, and whether they are distinct or repeated.
Tags
CCSS.HSA-REI.B.4B
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