Solving quadratic Equations by completing the Squares

Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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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.
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is the Zero Product Property?
Back
The Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. For example, if (x - a)(x - b) = 0, then x = a or x = b.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola given by a quadratic equation?
Back
The vertex of a parabola given by the equation y = ax² + bx + c can be found using the formula (-b/(2a), f(-b/(2a))).
5.
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.
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
How do you derive the quadratic formula by completing the square?
Back
To derive the quadratic formula, start with ax² + bx + c = 0, divide by a, rearrange, complete the square, and solve for x.
Tags
CCSS.HSA-REI.B.4B
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