Podcast
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 $x^2 - 10x - 96 = 0$ by completing the square?
- x = 16 (correct)
- x = -6 (correct)
- x = -5
- x = 3
What are the solutions for the equation $x^2 + 2x - 15 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 2x - 15 = 0$ by completing the square?
- x = 17
- x = -12
- x = -5 (correct)
- x = 3 (correct)
What are the solutions for the equation $x^2 + 16x + 48 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 16x + 48 = 0$ by completing the square?
- x = -12 (correct)
- x = 6
- x = -4 (correct)
- x = -8
What are the solutions for the equation $x^2 - 12x - 85 = 0$ by completing the square?
What are the solutions for the equation $x^2 - 12x - 85 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 16x - 8 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 16x - 8 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 20x - 12 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 20x - 12 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 10x - 89 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 10x - 89 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 12x + 24 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 12x + 24 = 0$ by completing the square?
What are the solutions for the equation $x^2 + 4x - 81 = 3$ by completing the square?
What are the solutions for the equation $x^2 + 4x - 81 = 3$ by completing the square?
What are the solutions for the equation $x^2 + 16x - 53 = 9$ by completing the square?
What are the solutions for the equation $x^2 + 16x - 53 = 9$ by completing the square?
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.
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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.
