Questions and Answers
What are the solutions for the equation $x^2 - 10x - 96 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 2x - 15 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 16x + 48 = 0$ by completing the square?
What are the solutions for the equation $x^2 - 12x - 85 = 0$ by completing the square?
Signup and view all the answers
What are the solutions for the equation $x^2 + 16x - 8 = 0$ by completing the square?
Signup and view all the answers
What are the solutions for the equation $x^2 + 20x - 12 = 0$ by completing the square?
Signup and view all the answers
What are the solutions for the equation $x^2 + 10x - 89 = 0$ by completing the square?
Signup and view all the answers
What are the solutions for the equation $x^2 + 12x + 24 = 0$ by completing the square?
Signup and view all the answers
What are the solutions for the equation $x^2 + 4x - 81 = 3$ by completing the square?
Signup and view all the answers
What are the solutions for the equation $x^2 + 16x - 53 = 9$ by completing the square?
Signup and view all the answers
Study Notes
Solving Quadratic Equations by Completing the Square
- Quadratic equations can be solved by manipulating the equation to form a perfect square trinomial.
Card 1
- Solutions: x = 16 and x = -6.
- Equation: x² − 10x − 96 = 0.
Card 2
- Solutions: x = 3 and x = -5.
- Equation: x² + 2x − 15 = 0.
Card 3
- Solutions: x = -4 and x = -12.
- Equation: x² + 16x + 48 = 0.
Card 4
- Solutions: x = 17 and x = -5.
- Equation: x² − 12x − 85 = 0.
Card 5
- Solutions: x = -8 + 6√2 and x = -8 - 6√2.
- Equation: x² + 16x − 8 = 0.
Card 6
- Solutions: x = -10 + 4√7 and x = -10 - 4√7.
- Equation: x² + 20x − 12 = 0.
Card 7
- Solutions: x = -5 + √114 and x = -5 - √114.
- Equation: x² + 10x − 89 = 0.
Card 8
- Solutions: x = -6 - 2√3 and x = -6 + 2√3.
- Equation: x² + 12x + 24 = 0.
Card 9
- Solutions: x = -2 + 2√22 and x = -2 - 2√22.
- Equation: x² + 4x − 81 = 3.
Card 10
- Solutions: x = -8 + 3√14 and x = -8 - 3√14.
- Equation: x² + 16x − 53 = 9.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz focuses on solving quadratic equations by completing the square. Test your skills with various equations and find their solutions. Each question presents a quadratic equation to manipulate and solve for x.
