Algebra-1

Question Analysis
The problem requires students to solve a quadratic equation by completing the square. The given equation is , which needs to be divided by 4 to simplify it to . The next step is to complete the square, which involves adding and subtracting the square of half the coefficient of the linear term.

Key Concept Explanation
Completing the square is a method used to transform a quadratic equation into a perfect square trinomial. This process involves converting the coefficient of the quadratic term to 1, transposing the constant term, and adding the square of half the coefficient of the linear term to both sides of the equation.

Step-by-step Solution
1. Start with the equation:
2. Divide the entire equation by 4:
3. Transpose the constant term:
4. Add the square of half the coefficient of the linear term:
5. Add and subtract this value on the left side:

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