document.write( "Question 1113525: Find a number such that subtracting its reciprocal from the number gives 16/15 \n" ); document.write( "
Algebra.Com's Answer #728574 by ikleyn(52781)\"\" \"About 
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document.write( "x - \"1%2Fx\" = \"16%2F15\"\r\n" );
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document.write( "15x^2 - 16x - 15 = 0\r\n" );
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document.write( "\"x%5B1%2C2%5D\" = \"%2816+%2B-+sqrt%2816%5E2+%2B+4%2A15%2A15%29%29%2F%282%2A15%29\" = \"%2816+%2B-+34%29%2F30\"\r\n" );
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document.write( "\"x%5B1%5D\" = \"%2816+%2B+34%29%2F30\" = \"50%2F30\" = \"5%2F3\"\r\n" );
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document.write( "\"x%5B2%5D\" = \"%2816+-+34%29%2F30\" = \"-18%2F30\" = \"-3%2F5\"\r\n" );
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document.write( "Check.  \"5%2F3+-+3%2F5\" = \"25%2F15+-+9%2F15\" = \"16%2F15\".  ! Correct !\r\n" );
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document.write( "        \"-3%2F5+%2B+5%2F3\" = \"-9%2F15+%2B+25%2F15\" = \"16%2F15\".   ! Correct !\r\n" );
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document.write( "Answer.  Two solutions  are  \"-3%2F5\"  and  \"5%2F3\".\r\n" );
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document.write( "Plot y = \"x+-+1%2Fx\" (red) and y = \"16%2F15\" (green)\r\n" );
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