Th11.19 Solving using the Quadratic Formula

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Mathematics
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9th - 12th Grade
•
Hard
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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).
2.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the nature of the roots of the equation.
3.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate?
Back
A positive discriminant indicates that the quadratic equation has two distinct real solutions.
4.
FLASHCARD QUESTION
Front
What does a zero discriminant indicate?
Back
A zero discriminant indicates that the quadratic equation has exactly one real solution (a repeated root).
5.
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 (imaginary) solutions.
6.
FLASHCARD QUESTION
Front
Identify a, b, c in the equation: 3x² + 6x + 2 = 0.
Back
a = 3, b = 6, c = 2.
7.
FLASHCARD QUESTION
Front
Identify a, b, c in the equation: x² - 4x + 4 = 0.
Back
a = 1, b = -4, c = 4.
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