Retake Retake Unit 2 Flashcard 3 Part A

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•
Mathematics
•
10th 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 ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).
2.
FLASHCARD QUESTION
Front
How do you solve a quadratic equation by factoring?
Back
To solve a quadratic equation by factoring, express the equation in the form (px + q)(rx + s) = 0, then set each factor to zero and solve for x.
3.
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: if positive, there are two real roots; if zero, one real root; if negative, two complex roots.
4.
FLASHCARD QUESTION
Front
Solve for x: 2x^2 - 10x + 11 = 0
Back
x = (5 + √3) / 2, x = (5 - √3) / 2.
5.
FLASHCARD QUESTION
Front
Solve for x by factoring: 4x^2 + 5 = 6
Back
x = ± 1/2.
6.
FLASHCARD QUESTION
Front
Solve for x by factoring: x^2 + 10x = 24
Back
x = {-12, 2}.
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
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