Solving Quadratic Equations
Flashcard
•
Mathematics
•
8th - 11th Grade
•
Practice Problem
•
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 the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What are the roots of a quadratic equation?
Back
The roots of a quadratic equation are the values of x that satisfy the equation, meaning they make the equation equal to zero.
3.
FLASHCARD QUESTION
Front
How do you find the roots of a quadratic equation using factoring?
Back
To find the roots by factoring, express the quadratic in the form (x - p)(x - q) = 0, where p and q are the roots.
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of any quadratic equation.
5.
FLASHCARD QUESTION
Front
What does the discriminant tell you?
Back
The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.
6.
FLASHCARD QUESTION
Front
What is vertex form of a quadratic equation?
Back
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
7.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function?
Back
The vertex can be found using the formula h = -b/(2a) and then substituting h back into the equation to find k.
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