Algebra II Mr. Gilbert

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Algebra IIMr. Gilbert

• Chapter 6.4
• Completing the Square
• Standard Honors

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Agenda

• Warm up
• Homework
• Check your answers
• Lesson

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Lesson 4 Contents
Topic Completing the Square
Example 1 Equation with Rational Roots
(2) Example 2 Equation with Irrational Roots
(4) Example 3 Complete the Square (3) Example
4 Solve an Equation by Completing the Square
(3) Example 5 Equation with a ? 1 (3) Example
6 Equation with Complex Solutions (4)
You will need a graphing calculator for this
section.
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Example 4-1a
Answer The solution set is 15, 1.
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Example 4-1b
Answer 3, 13
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Example 4-2a
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Example 4-2a
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Example 4-2a
Check Use the ZERO function of a graphing
calculator. The approximate zeros of the related
function are 1.5 and 8.5.
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Example 4-2b
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Example 4-3a
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Example 4-3b
Answer 9 (x 3)2
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Example 4-4a
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Example 4-4a
Answer The solution set is 6, 2.
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Example 4-4b
Answer 6, 1
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Example 4-5a
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Example 4-5a
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Example 4-5a
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Example 4-5b
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Example 4-6a
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Example 4-6a
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Example 4-6a
Check A graph of the related function shows that
the equation has no real solutions since the
graph has no x-intercepts. Imaginary solutions
must be checked algebraically by substituting
them in the original equation.
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Example 4-6b
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End of Lesson 4
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Homework Review
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Homework - Honors
See Syllabus 6.4 Pg 311 25-48 multiples of 3,
49,50,52
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Homework
See Syllabus 6.4 Pg 311 25-47 odd