Question #6446345Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by completing the square. The equation can be rewritten as ________.
Answer & Analysis
Analysis
Question Analysis
The question requires students to solve a quadratic equation by completing the square. The equation is first divided by the coefficient of the quadratic term to simplify it. The next step is to complete the square, which involves adding and subtracting the square of half the coefficient of the linear term.
The question requires students to solve a quadratic equation by completing the square. The equation is first divided by the coefficient of the quadratic term to simplify it. 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, which can then be solved by taking the square root. This method is particularly useful for solving quadratic equations that are not easily factorable.
Completing the square is a method used to transform a quadratic equation into a perfect square trinomial, which can then be solved by taking the square root. This method is particularly useful for solving quadratic equations that are not easily factorable.
Step-by-step Solution
1. Start with the given equation: .
2. Divide the entire equation by 24: .
3. Move the constant term to the right side: .
4. Complete the square by adding and subtracting
1. Start with the given equation: .
2. Divide the entire equation by 24: .
3. Move the constant term to the right side: .
4. Complete the square by adding and subtracting
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