Math Problem Statement
please slve
Solution
Let's solve the quadratic equation by completing the square.
Step-by-Step Solution:
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Start with the quadratic equation:
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Move the constant term to the right side:
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To complete the square, take half of the coefficient of (which is 2), square it, and add it to both sides: Add 1 to both sides:
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Now the left side is a perfect square:
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Take the square root of both sides:
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Solve for :
Final Answer:
To round to the nearest hundredth:
So:
Final Answer Rounded to Nearest Hundredth:
Would you like further details on this solution or have any questions?
Related Questions:
- How do you solve quadratic equations using the quadratic formula?
- What are the conditions under which a quadratic equation has real, repeated, or complex solutions?
- How can you graphically represent the solutions of a quadratic equation?
- What is the importance of completing the square in deriving the quadratic formula?
- How does completing the square help in converting a quadratic equation into vertex form?
Tip:
Completing the square is a useful technique not only for solving quadratic equations but also for deriving the quadratic formula and finding the vertex of a parabola.
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Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Completing the Square
Formulas
Quadratic formula
Theorems
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Suitable Grade Level
Grades 9-12