Concept explainers
To fill: The black for the given table.
The obtained table is shown as follow,
Completing the square | ||
Expression | Numbers of 1-tiles needed to complete the square | Expression written as square |
1 | ||
4 | ||
9 | ||
16 | ||
25 |
Given Information:
The table is defined as,
Completing the square | ||
Expression | Numbers of 1-tiles needed to complete the square | Expression written as square |
? | ? | |
? | ? | |
9 | ||
? | ? | |
? | ? |
Calculation:
Consider the given table,
First, find the number for the polynomial
The general form of the perfect square is
Rewrite the given polynomial.
Compare the above polynomial with the general form of the perfect square
Second, find the number for the polynomial
The general form of the perfect square is
Rewrite the given polynomial.
Compare the above polynomial with the general form of the perfect square
Fourth, find the number for the polynomial
The general form of the perfect square is
Rewrite the given polynomial.
Compare the above polynomial with the general form of the perfect square
Fifth, find the number for the polynomial
The general form of the perfect square is
Rewrite the given polynomial.
Compare the above polynomial with the general form of the perfect square
Substitute all the values in the table.
Completing the square | ||
Expression | Numbers of 1-tiles needed to complete the square | Expression written as square |
1 | ||
4 | ||
9 | ||
16 | ||
25 |
Therefore, the solution of the given equation is
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education