4.5 Completing the Square
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
Student preview
15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of completing the square in a quadratic equation?
Back
Completing the square involves rewriting a quadratic equation in the form (x - p)² = q, where p and q are constants. This method helps in solving quadratic equations and understanding their properties.
2.
FLASHCARD QUESTION
Front
What is the completed square form of x² + 10x?
Back
x² + 10x + 25, which can be written as (x + 5)².
3.
FLASHCARD QUESTION
Front
How do you find the value to complete the square for x² + bx?
Back
Take half of b, square it, and add it to the equation. For example, for x² + 10x, half of 10 is 5, and 5² is 25.
4.
FLASHCARD QUESTION
Front
What is the completed square form of x² - 4x + 4?
Back
(x - 2)².
5.
FLASHCARD QUESTION
Front
How do you solve x² + 6x - 4 = 36 by completing the square?
Back
Rearrange to x² + 6x - 40 = 0, complete the square to get (x + 3)² = 49, then x = 4 or x = -10.
6.
FLASHCARD QUESTION
Front
What is the value that completes the square for x² + 6x?
Back
9, because (6/2)² = 9.
7.
FLASHCARD QUESTION
Front
What are the roots of the equation n² - 2n - 3 = 0 after completing the square?
Back
n = 3 and n = -1.
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