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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.

Transcript

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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