3.5 Solving Quadratics by Completing the Square

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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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 solve quadratic equations by rewriting the equation in the form (x + p)² = q, making it easier to solve for x.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
How do you complete the square for the equation x² + 6x = 5?
Back
To complete the square, add (6/2)² = 9 to both sides: x² + 6x + 9 = 14, which simplifies to (x + 3)² = 14.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the value to add to complete the square for x² + 12x?
Back
To complete the square, add (12/2)² = 36, resulting in x² + 12x + 36.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the completed square form of x² + 6x?
Back
The completed square form is (x + 3)² - 9.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the value to add to complete the square for x² + 14x?
Back
To complete the square, add (14/2)² = 49, resulting in x² + 14x + 49.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
How do you solve (2x - 1)² = 49?
Back
Take the square root of both sides: 2x - 1 = ±7. Solve for x to get x = 4 or x = -3.
Tags
CCSS.HSA-REI.B.4B
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