document.write( "Question 1150082: Find the value of x that makes the following equation true:\r
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Algebra.Com's Answer #771443 by ikleyn(52799) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Introduce new variable  t =  + .                            (1)\r\n" );
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document.write( "Notice that by its meaning  (1), t is a positive real number.    (*)\r\n" );
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document.write( "Your equation then takes the form\r\n" );
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document.write( "     = .\r\n" );
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document.write( "Next cross-multiply\r\n" );
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document.write( "     = \r\n" );
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document.write( "     = \r\n" );
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document.write( "      t = -  = - .    (2)\r\n" );
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document.write( "Now you see that t, expressed as (2), is a negative number.\r\n" );
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document.write( "It contradicts to the notice (*) above that t should be positive.\r\n" );
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document.write( "Hence, the original equation HAS NO SOLUTIONS.      A N S W E R\r\n" );
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document.write( "Plot y =  (left side, red), y =   (right side, green)\r\n" );
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