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Published byMaximillian Lynch Modified over 9 years ago
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7.5 Solving Radical Equations
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What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with a rational exponent. yes no
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EXAMPLE – Solving a Radical Equation 2 () 2 Square both sides to get rid of the square root
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Let’s Try Some
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RADICAL EQUATIONS ISOLATE RADICAL / RATIONAL RAISE BOTH SIDES TO RECIPROCAL POWER SOLVE FOR THE VARIABLE
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ISOLATE RADICAL / RATIONAL RAISE BOTH SIDES TO RECIPROCAL POWER Use absolute value when taking an even number root.
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Checking for extraneous solutions So check answers with
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SOLVING MORE COMPLEX EQUATIONS Raise each side to the 4 th power. This will get you integer powers – much easier to work with! Factor
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check for extraneous solutions
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