Solve by completing the square
Flashcard
•
Mathematics
•
11th 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 of a perfect square trinomial, allowing for easier solutions.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
Tags
CCSS.HSA.APR.C.4
3.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the first step in completing the square for a quadratic equation?
Back
The first step is to move the constant term to the other side of the equation.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What do you do after moving the constant term when completing the square?
Back
Next, take half of the coefficient of the linear term, square it, and add it to both sides of the equation.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
How do you derive the quadratic formula from completing the square?
Back
Start with the standard form of a quadratic equation, move the constant to the other side, complete the square, and solve for x.
Tags
CCSS.HSA-REI.B.4B
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