Solving Quadratics by Completing the Square and Quadratic Formula
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is the first step in solving a Quadratic Equation using Completing the Square?
Back
Get the variable terms on one side by themselves.
2.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
x = (-b ± √(b² - 4ac)) / (2a)
3.
FLASHCARD QUESTION
Front
What do you do to the b value to correctly complete the square?
Back
Divide it by 2 and square the result.
4.
FLASHCARD QUESTION
Front
What is the first step to solving the equation a² + 10a + 21 = 0 by completing the square?
Back
Subtract the 21.
5.
FLASHCARD QUESTION
Front
What does it mean to complete the square?
Back
To transform a quadratic equation into a perfect square trinomial.
6.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
An expression of the form (a + b)² = a² + 2ab + b².
7.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given in standard form y = ax² + bx + c?
Back
The vertex is at the point (-b/(2a), f(-b/(2a))).
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