CPM Homework Banner

Home > INT2 > Chapter 7 > Lesson 7.1.2 > Problem 7-27

7-27.

Use the Zero Product Property or complete the square to solve the following quadratic equations. Then check your solutions.

  1.  

    Use an area model and a diamond problem to help you factor the equation.

    Generic Rectangle, labeled as follows: Exterior left, top, negative 5, bottom, x, exterior bottom, left, x, right, negative 5, interior, top left, negative 5 x, top right, 25, bottom left, x squared, bottom right, negative 5 x. Diamond problem: left, negative 5 x, right, negative 5 x, top, 25 x squared, bottom, negative 10 x.

     

  1.  

    See part (a).

  1.  

    Rewrite the equation so that it is equal to .

    ,  

  1.  

    You should notice that this is a difference of squares.

© 2022 CPM Educational Program. All rights reserved.