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Section 8.1 Quadratic Equations The Graphical Connection The Principle of Square Roots Completing the Square Solving Equations by Completing the Square Problem Solving 8.11
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Review of Quadratic Equations In Chapter 5, we solved these types of equations by factoring the non-zero side. When the expression is unfactorable, we need an alternate way to find solutions. 8.12
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Quadratic Functions & Graphs In Chapter 2, we examined f(x) = ax 2 + bx + c a ≠ 0 8.13
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The Principle of Square Roots Solve by factoring x 2 – 16 = 0 Then by the square root property 8.14
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Solve Using the Square Root Property 8.15
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General Form of the Principle of Square Roots - Let X be any Expression 8.16
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What do you notice about the left expression? IIt’s a perfect square trinomial: 8.17
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Completing the Square - A technique used to find solutions to quadratic equations Recall the patterns for factoring “perfect square trinomials: Add a number to x 2 + 6x to make it a perfect square. 8.18
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Using the Perfect Square Technique in an Equation 8.19
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Solving by Completing the Square 8.110
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Examples - board Solve by factoring Use square root property Use completing the square 8.111
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Application – Compound Interest 8.112
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What Next? The Quadratic Formula Present Section 8.2 Present Section 8.2 8.113
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