Solving Quadratics by Completing the Square Practice June 21st
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the first step to solving the equation a² + 10a + 21 = 0 by completing the square?
Back
Subtract 21 from both sides.
2.
FLASHCARD QUESTION
Front
What do you do to the b value (10) to correctly complete the square?
Back
Divide it by 2 and square the result.
3.
FLASHCARD QUESTION
Front
Write the quadratic expression x² + 4x + 10 in completed square form.
Back
(x + 2)² + 6
4.
FLASHCARD QUESTION
Front
Solve by completing the square: x² + 12x = 5.
Back
x = -6 ± √41
5.
FLASHCARD QUESTION
Front
Solve the quadratic equation x² - 10x - 5 = 0 by completing the square.
Back
x = 5 ± √30
6.
FLASHCARD QUESTION
Front
What is the completed square form of the expression x² + 6x + 9?
Back
(x + 3)²
7.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given in standard form y = ax² + bx + c?
Back
Use the formula x = -b/(2a) to find the x-coordinate of the vertex.
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