What is a quadratic equation?
Quadratic Equations Word Problems

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
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.
3.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (D = b² - 4ac) determines the nature of the roots of the quadratic equation: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are no real roots.
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 the area of a rectangle?
Back
The area of a rectangle is calculated by multiplying its length by its width (Area = length × width).
6.
FLASHCARD QUESTION
Front
How do you set up an equation for a word problem involving area?
Back
Identify the dimensions involved, express them in terms of a variable, and set up the equation based on the area formula.
7.
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, e.g., (a + b)² = a² + 2ab + b².
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