document.write( "Question 588189: Finding solutions to equation |(x+6)/(x-4)| = 13. Unsure how to proceed as there is a fraction in the absolute field. Any help would be appreciated. \n" ); document.write( "
Algebra.Com's Answer #374402 by Edwin McCravy(20086)\"\" \"About 
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document.write( "            \"abs%28%28x%2B6%29%2F%28x-4%29%29\" = 13\r\n" );
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document.write( "We can use the principle that the absolute value of a quotient\r\n" );
document.write( "equals the quotient of the absolute values \"abs%28A%2FB%29\" = \"abs%28A%29%2Fabs%28B%29\"\r\n" );
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document.write( "            \"abs%28x%2B6%29%2Fabs%28x-4%29\" = 13\r\n" );
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document.write( "Then we can multiply through by |x-4|,  which we can do as long as x is not 4.\r\n" );
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document.write( "          |x+6| = 13|x-4|\r\n" );
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document.write( "There are two cases:\r\n" );
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document.write( "            x+6 = 13(x-4)     AND      x+6 = -13(x-4)\r\n" );
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document.write( "Solve those and get\r\n" );
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document.write( "              x = \"29%2F6\"              AND     x = \"23%2F7\"\r\n" );
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document.write( "Edwin

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