document.write( "Question 1031188: x^5+242=243/x^5 \n" ); document.write( "
Algebra.Com's Answer #645943 by ikleyn(52847)\"\" \"About 
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\n" ); document.write( "x^5 + 242 = 243/x^5
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document.write( "\"x%5E5+%2B+242\" = \"243%2Fx%5E5\"  --->  \r\n" );
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document.write( "\"x%5E10+%2B+242x%5E5+-+243\" = \"0\",\r\n" );
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document.write( "\"%28x%5E5%2B243%29%2A%28x%5E5-1%29\" = \"0\".\r\n" );
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document.write( "It gives you two equations:\r\n" );
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document.write( "(1)  \"x%5E5%2B243\" = \"0\"  --->  \"x%5E5\" = \"-243\"  --->  x = -3\r\n" );
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document.write( "and\r\n" );
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document.write( "(2)  \"x%5E5-1\" = \"0\"  --->  \"x%5E5\" = \"1\"  --->  x = 1.\r\n" );
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document.write( "(If we restrict ourself by real solutions only).\r\n" );
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