Question #6446325Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by completing the square. The solution is.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a quadratic equation by completing the square.
This question tests the student's ability to solve a quadratic equation by completing the square.
Key Concept Explanation
Completing the square involves transforming the quadratic equation into a perfect square trinomial and then solving for by taking the square root.
Completing the square involves transforming the quadratic equation into a perfect square trinomial and then solving for by taking the square root.
Step-by-step Solution
1. Convert the coefficient of the quadratic term to 1: Divide both sides by 2, resulting in .
2. Transpose the constant term to the right side: .
3. Complete the square: The coefficient of the linear term is -6, half of it is -3, and its square is 9.
Add 9 to both sides: , which simplifies to
1. Convert the coefficient of the quadratic term to 1: Divide both sides by 2, resulting in .
2. Transpose the constant term to the right side: .
3. Complete the square: The coefficient of the linear term is -6, half of it is -3, and its square is 9.
Add 9 to both sides: , which simplifies to
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