document.write( "Question 98601: twice the reciprocal of a number is nine more than five times the number. find the number \n" ); document.write( "
Algebra.Com's Answer #71741 by Edwin McCravy(20060)\"\" \"About 
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document.write( "twice the reciprocal of a number is nine more than five times the number. \r\n" );
document.write( "find the number.\r\n" );
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document.write( "A number = THE number = \"x\"\r\n" );
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document.write( "The reciprocal of A number or THE number = \"1%2Fx\"\r\n" );
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document.write( "Replace \"a number\" and \"the number\" by x:\r\n" );
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document.write( "twice the reciprocal of a number is nine more than five times the number. \r\n" );
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document.write( "twice the reciprocal of \"x\" is nine more than five times \"x\".\r\n" );
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document.write( "Replace \"the reciprocal of \"x\"\" by \"1%2Fx\"\r\n" );
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document.write( "twice \"1%2Fx\" is nine more than five times \"x\".\r\n" );
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document.write( "Replace \"twice \"1%2Fx\"\" by \"2%2Fx\".\r\n" );
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document.write( "\"2%2Fx\" is nine more than five times \"x\".\r\n" );
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document.write( "Replace \"five times \"x\"\" by \"5x\"\r\n" );
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document.write( "\"2%2Fx\" is nine more than \"5x\".\r\n" );
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document.write( "Replace \"nine more than \"5x\"\" by \"5x%2B9\"\r\n" );
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document.write( "\"2%2Fx\" is \"5x%2B9\".\r\n" );
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document.write( "Replace \"is by \" = \"\r\n" );
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document.write( "\"2%2Fx\" = \"5x%2B9\".\r\n" );
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document.write( "Multiply through by x\r\n" );
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document.write( "\"2\" = \"5x%5E2%2B9x\"\r\n" );
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document.write( "Get 0 on the left:\r\n" );
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document.write( "\"0\" = \"5x%5E2%2B9x-2\"\r\n" );
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document.write( "\"0\" = \"%285x-1%29%28x%2B2%29\"\r\n" );
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document.write( "\"5x-1=0\", \"x%2B2=0\"\r\n" );
document.write( "\"5x=1\",   \"x=-2\"\r\n" );
document.write( "\"x=1%2F5\", \"x=-2\"\r\n" );
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document.write( "Two solutions: \"1%2F5\", \"-2\"\r\n" );
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document.write( "Edwin

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