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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Question
What number has to be added to complete the square?
![The image contains two incomplete quadratic equations. Each equation has a placeholder where a constant term should be filled in.
**Equation (a):**
\[ y = x^2 - 14x + \_\_\_\_\_\_\_\_\_\_ \]
**Equation (b):**
\[ y = x^2 + \frac{21}{2}x + \_\_\_\_\_\_\_\_\_\_ \]
In these equations, \( x \) is the variable, and the placeholders represent the missing constant terms that make the quadratic equations complete.
The equation (a) is in the standard quadratic form \( ax^2 + bx + c = 0 \) where \( a = 1 \), \( b = -14 \), and \( c \) is the missing constant term. Similarly, equation (b) has coefficients \( a = 1 \), \( b = \frac{21}{2} \), and \( c \) as the missing term.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80c85fc6-2bab-4b0c-8d36-2f5a2f035760%2F8e45e578-943e-487b-a7e4-a7b246c75244%2Fyu6dspq_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains two incomplete quadratic equations. Each equation has a placeholder where a constant term should be filled in.
**Equation (a):**
\[ y = x^2 - 14x + \_\_\_\_\_\_\_\_\_\_ \]
**Equation (b):**
\[ y = x^2 + \frac{21}{2}x + \_\_\_\_\_\_\_\_\_\_ \]
In these equations, \( x \) is the variable, and the placeholders represent the missing constant terms that make the quadratic equations complete.
The equation (a) is in the standard quadratic form \( ax^2 + bx + c = 0 \) where \( a = 1 \), \( b = -14 \), and \( c \) is the missing constant term. Similarly, equation (b) has coefficients \( a = 1 \), \( b = \frac{21}{2} \), and \( c \) as the missing term.
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