
Solving Quadratic Equations by Completing the Square

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to complete 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.
3.
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.
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola represented by a quadratic equation?
Back
The vertex can be found using the formula (-b/2a, f(-b/2a)) where f(x) is the quadratic function.
5.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (x + p)² = x² + 2px + p².
6.
FLASHCARD QUESTION
Front
What is the formula for completing the square?
Back
To complete the square for ax² + bx, rewrite it as a(x² + (b/a)x) and then add (b/2a)² to both sides.
7.
FLASHCARD QUESTION
Front
Solve by completing the square: k² - 12k + 23 = 0
Back
k = 6 ± √13.
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