To solve the quadratic equation by completing the square. The solutions are x = ______.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to complete the square for a quadratic equation with a negative linear coefficient and a leading coefficient other than 1.
Key Concept Explanation
When the leading coefficient is not 1, the first step is to divide all terms by the leading coefficient. Then, the process of completing the square follows as usual, even if the linear coefficient is negative.
Step-by-step Solution
1. Start with the equation:
2. Divide all terms by 2:
3. Move the constant term to the right side:
4. Add to both sides:
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