document.write( "Question 1208841: Find the real solutions of the equation. \r
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\n" ); document.write( "\n" ); document.write( "x^6 + 8•sqrt{x^(8)} = 0\r
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Algebra.Com's Answer #847328 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Find the real solutions of the equation.\r
\n" ); document.write( "\n" ); document.write( "x^6 + 8•sqrt{x^(8)} = 0
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document.write( "Equation \r\n" );
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document.write( "     +  = 0\r\n" );
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document.write( "is equivalent to\r\n" );
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document.write( "     +  = 0.\r\n" );
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document.write( "For real  x,  left side is the sum of two addends that are non-negative expressions.\r\n" );
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document.write( "The sum of two non-negative addends is zero if and only if both addends are zeros.\r\n" );
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document.write( "From it, we conclude that x= 0 is the only solution to the original equation.\r\n" );
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document.write( "ANSWER.  x = 0  is the unique real solution to the given equation.\r\n" );
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