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Section 5.8 Solving Radical Equations
Algebra II Section 5.8 Solving Radical Equations
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Warm Up Simplify each expression. Assume all variables are positive.
# 𝑥 𝑥 # 𝑥 5 # (𝑥+2) 3 #4 2(48𝑦)
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More warming! Write each expression in radical form. #5 (𝑥+6) 1 2
#5 (𝑥+6) 1 2 #6 (3𝑦+4) 3 5
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Radical equation-an equation that contains a variable within the radical
When there was an equation with 𝑥 2 (and no x term), what did you do to solve it?
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For a radical equation-
Isolate the radical Square or cube both sides Simplify and solve
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Solve and check for extraneous answers.
𝑥 =6 2. 𝑥−10 =20 3. (2𝑥+1) =4 𝑥−11 =𝑥−3
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Try these! Pg #2-20 even
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Challenge What would you have to do to the following equation to solve for x? (𝑥+1) =4
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Classwork/homework Pg #27-41 odd, 45, 50a, 62-65
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