$\"\"$

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The function is $\"\"$ .

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From the equation the LCD is $\"\"$ .

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Multiply each side by $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Let $\"\"$ so that the denominator factors $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ $\"\"$

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The solutions are $\"\"$ .

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Because the original equation is not defined when $\"\"$ , this is an extraneous solution.

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When $\"\"$ , the rational equation has exactly one extraneous solution and one real solution.

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$\"\"$

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The rational equation has exactly one extraneous solution and one real solution when $\"\"$ .