What is a quadratic equation?
ALG Unit 4C Review - Solving Quadratic Equations (ALL Methods)

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Mathematics
•
9th - 10th 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 are the methods to solve quadratic equations?
Back
The methods to solve quadratic equations include factoring, using the quadratic formula, completing the square, and graphing.
3.
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.
4.
FLASHCARD QUESTION
Front
How do you factor a quadratic equation?
Back
To factor a quadratic equation, find two numbers that multiply to ac and add to b, then rewrite the equation as (px + q)(rx + s) = 0.
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
Solve: 16a² - 9 = 0
Back
a = -3/4, 3/4
7.
FLASHCARD QUESTION
Front
Solve using the quadratic formula: x² - 3x - 4 = 0
Back
x = 4 and -1
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