document.write( "Question 1091925: Find a number such that the sum of the number at it's reciprocal is 8
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Algebra.Com's Answer #706414 by ikleyn(52781) $\"\"$ $\"About$

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document.write( " +  = 8  ====> multiply both sides by x  ====>\r\n" );
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document.write( " = 8x  ====>  collect x-terms on the left side. Move the constant term to the right side  ====>\r\n" );
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document.write( " = -1  ====>  add 16 to both sides  ====>\r\n" );
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document.write( " = -1 + 16  ====>  complete the square on the left side  ====>\r\n" );
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document.write( " = 15  ====>  take the saure root from both sides  ====>\r\n" );
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document.write( "x - 4 = +/- .\r\n" );
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document.write( "Answer.  There are two solutions:     and  .\r\n" );
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\n" ); document.write( "\n" ); document.write( "I applied the completing the square method to solve the quadratic equation.\r
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\n" ); document.write( "\n" ); document.write( "To learn more about this method, see the leson\r
\n" ); document.write( "\n" ); document.write( " - HOW TO solve quadratic equation by completing the square - Learning by examples \r
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