Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
What is the first step taken to rewrite the equation?
What is the first step taken to rewrite the equation?
- Adding 6 to both sides
- Subtracting 6 from both sides
- Rearranging the entire equation
- Subtracting 3x from both sides (correct)
What does the quadratic equation simplify to after combining like terms?
What does the quadratic equation simplify to after combining like terms?
- x² - x - 2 = 0 (correct)
- x² + x + 2 = 0
- x² + 5x - 8 = 0
- 2x² + 2x - 6 = 0
What is the nature of the equation presented?
What is the nature of the equation presented?
- It is a quadratic equation (correct)
- It is a linear equation
- It is a cubic equation
- It is a polynomial of degree 4
Which operation is applied to both sides of the equation to isolate the quadratic form?
Which operation is applied to both sides of the equation to isolate the quadratic form?
Signup and view all the answers
What is the standard form of a quadratic equation?
What is the standard form of a quadratic equation?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Solving Quadratic Equations
- The equation x² + 2x - 8 = 3x - 6 represents a quadratic equation because it has a term with x².
- The first step in solving the equation is to bring all terms to one side by subtracting 3x and adding 6 to both sides.
- This results in the simplified equation x² - x - 2 = 0.
- The simplified equation has the form ax² + bx + c = 0, which is standard form for quadratic equations.
- To solve this equation, we can use the quadratic formula or factoring techniques.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
