document.write( "Question 1106748: Show that the equation
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Algebra.Com's Answer #721882 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "1.  Evaluate the modulus  of the left side for |z| <= :\r\n" );
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document.write( "       |z^8 + (1+i)*z^3 + 2*z^2| <= (apply the \"triangle inequality\" to the modulus of the sum of complex numbers) <=\r\n" );
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document.write( "    <= |z^8| + |(1+i)|*|z*3| + 2*|z^2| <=  +  +  = 16 + 4 + 4 = 24.\r\n" );
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document.write( "2.  Evaluate the modulus of the right side:\r\n" );
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document.write( "    |10 + 24i| =  > 24.\r\n" );
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document.write( "3.  Comparing n.1  with n.2,  you may conclude that the equation  HAS NO solutions  in the given domain.\r\n" );
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