What is the first step in completing the square for a quadratic equation?
Complete the Square

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Move the constant term to the other side of the equation.
2.
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.
3.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form is ax² + bx + c = 0.
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola from a completed square form?
Back
The vertex is at the point (h, k) in the form y = a(x-h)² + k.
5.
FLASHCARD QUESTION
Front
What is the completed square form of the quadratic equation x² + 6x + 5?
Back
(x + 3)² - 4.
6.
FLASHCARD QUESTION
Front
How do you solve the equation x² + 4x - 5 = 0 by completing the square?
Back
(x + 2)² - 9 = 0, so x = -2 ± 3.
7.
FLASHCARD QUESTION
Front
What are the roots of the equation x² - 10x + 21 = 0 when solved by completing the square?
Back
x = 3 and x = 7.
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