Question #6446341Fill in the Blank
Algebra-1
Question
Solve the quadratic equation by completing the square. The solutions are _________.
Answer & Analysis
Analysis
Question Analysis
The problem requires students to solve a quadratic equation by completing the square.
The problem requires students to solve a quadratic equation by completing the square.
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.
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 18:
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:
1. Start with the equation:
2. Divide the entire equation by 18:
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:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!