Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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## Identify the Steps in Solving a Quadratic Equation by Completing the Square

To solve a quadratic equation by completing the square, follow these steps in the correct order:

1. **Step 1**: Put the equation in the form \( Ax^2 + Bx = C \). Ensure that \( A \) is equal to 1.
2. **Step 2**: Add the values that complete the square to both sides.
3. **Step 3**: Apply the perfect square trinomial to the quadratic to factor.
4. **Step 4**: Take the square root of each side.
5. **Step 5**: Solve the resulting equation.

This method is useful for reliably finding the solutions to any quadratic equation by transforming it into a perfect square trinomial.
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Transcribed Image Text:## Identify the Steps in Solving a Quadratic Equation by Completing the Square To solve a quadratic equation by completing the square, follow these steps in the correct order: 1. **Step 1**: Put the equation in the form \( Ax^2 + Bx = C \). Ensure that \( A \) is equal to 1. 2. **Step 2**: Add the values that complete the square to both sides. 3. **Step 3**: Apply the perfect square trinomial to the quadratic to factor. 4. **Step 4**: Take the square root of each side. 5. **Step 5**: Solve the resulting equation. This method is useful for reliably finding the solutions to any quadratic equation by transforming it into a perfect square trinomial.
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