Completing The Square Practice
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of completing the square?
Back
Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.
2.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is an expression of the form (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².
3.
FLASHCARD QUESTION
Front
How do you complete the square for the equation x² + 6x = 5?
Back
Add (6/2)² = 9 to both sides: x² + 6x + 9 = 14, which factors to (x + 3)² = 14.
4.
FLASHCARD QUESTION
Front
What value of 'c' completes the square in x² + 8x + c?
Back
c = (8/2)² = 16.
5.
FLASHCARD QUESTION
Front
Solve the equation x² + 12x + 36 = 0 by completing the square.
Back
(x + 6)² = 0, so x = -6.
6.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
7.
FLASHCARD QUESTION
Front
How do you find the roots of a quadratic equation using completing the square?
Back
Rearrange the equation to the form x² + bx = c, complete the square, and then solve for x.
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