Completing the Square

1
Completing the Square
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• Perfect Square Trinomials

Factor
This is called a perfect square trinomial because
the factors are the same.
So we can rewrite these factors as
This fact is going to help us during the process
of completing the square!
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Completing the square method
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• Steps
• Get all variables grouped together on one side of
  the equation, and all the constants on the other
  side of the equation (if coefficient of the
  squared term is not one, you must divide
  everything by it)
• Take half of the coefficient of the non-squared
  variable term, square it, and add it to both
  sides
• Factor the perfect square trinomial and write it
  as a binomial squared
• Square root both sides to get rid of square from
  the binomial (dont forget, when introducing a
  square root into the problem, your constant will
  have a /- in front of it
• Solve the two equations for the variable to get
  your roots

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Solve the quadratic equation (a) by factoring and
(b) by completing the square
4
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Solve the quadratic equation by completing the
square, and express each root in simplest radical
from.
Roots
5
Page 2
Solve the quadratic equation by completing the
square, and express each root in simplest radical
from.
Roots
6
Page 2
Solve the quadratic equation by completing the
square, and express each root in simplest radical
from.
Roots
7
Page 2
Solve the quadratic equation by completing the
square, and express each root in simplest abi
form.
Roots
8
Page 2
Solve the quadratic equation by completing the
square, and express each root in simplest abi
form.
Roots
9
Homework
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