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Name ________________________________________________ Date___________________ Quadratic Functions – Part 1 Solving Quadratics by Completing the Square Independent Practice 1.! Use the quadratic, ! + 18! = 25 to answer the following questions. Part A: Find the value of c that will result in a perfect square trinomial. ! + 18! + )* = 25 + * Part B: Rewrite the above equation into a perfect square binomial form.
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   www.AlgebraNation.com Section 5 Topic 7 Name ________________________________________________ Date___________________ Quadratic Functions – Part 1 Solving Quadratics by Completing the Square Independent Practice 1.   Use the quadratic, ! # $%! & '(  to answer the following questions. Part A:  Find the value of c  that will result in a perfect square trinomial. ! # $%! # * & '( # *   Part B:  Rewrite the above equation into a perfect square binomial form. +! # ,,,,,,,- & ,,,,,,,,   Part C:  What is the value of ! ? 2.   Find the roots of the quadratic function by completing the square: ! # .! / $ & 01     www.AlgebraNation.com Section 5 Topic 7 !   The rectangular poster shown at the right measures '2 / 30 by 21 The poster has an area of  (.00 *4 . What is the value of  25   #   The area of a rectangular television screen is  $%36 78 . The width of the screen is ''1.  inches longer than the height. Therefore, the quadratic equation that can be used to represent the area of the television screen is 9 9 # ''1. & $%36 . If you multiply, you then have the equivalent equation, 9 # ''1.9 & $%361  Complete the square to find the dimensions of the screen.   www.AlgebraNation.com Section 5 Topic 7 $   The area of a rectangular television screen is  3.(: 78 . The width of the screen is '.  inches longer than the height. What is a quadratic equation that represents the area of the screen? What are the dimensions of the screen? Part A:   What is the quadratic equation that represents the area of the television screen? Part B:   What are the dimensions of the screen?
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