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Determine the positive number that must be added or subtracted to the expression to complete the square. x2 + 4x To complete the square of x2 + 4x, subtract

Determine the positive number that must be added or subtracted to the expression to complete the square. x2 + 4x To complete the square of x2 + 4x, subtract

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Completing the Square: A Step-by-Step Guide** To complete the square for the expression \( x^2 + 4x \), follow these steps: 1. **Identify the Coefficient of the Linear Term:** - The linear term in the expression is \( 4x \). The coefficient here is \( 4 \). 2. **Calculate Half of the Coefficient:** - Take the coefficient of \( x \), which is \( 4 \), and divide it by \( 2 \). This gives you \( 2 \). 3. **Square the Result:** - Square the result from the previous step: \( 2^2 = 4 \). 4. **Adjust the Expression:** - To complete the square, you need to subtract and add the squared result from the expression. Since we are focusing on adding or subtracting, it indicates the process of maintaining balance within an equation. 5. **Final Step:** - As per the instructions, to complete the square of \( x^2 + 4x \), the number \( 4 \) should be subtracted. By following these steps, you have successfully completed the square procedure for the given expression.
Transcribed Image Text:**Completing the Square: A Step-by-Step Guide** To complete the square for the expression \( x^2 + 4x \), follow these steps: 1. **Identify the Coefficient of the Linear Term:** - The linear term in the expression is \( 4x \). The coefficient here is \( 4 \). 2. **Calculate Half of the Coefficient:** - Take the coefficient of \( x \), which is \( 4 \), and divide it by \( 2 \). This gives you \( 2 \). 3. **Square the Result:** - Square the result from the previous step: \( 2^2 = 4 \). 4. **Adjust the Expression:** - To complete the square, you need to subtract and add the squared result from the expression. Since we are focusing on adding or subtracting, it indicates the process of maintaining balance within an equation. 5. **Final Step:** - As per the instructions, to complete the square of \( x^2 + 4x \), the number \( 4 \) should be subtracted. By following these steps, you have successfully completed the square procedure for the given expression.
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