document.write( "Question 1209372: Solve for all integer solutions of x and y.
\n" ); document.write( "3^x + 3^y = 108 \n" ); document.write( "

Algebra.Com's Answer #848696 by ikleyn(52832) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "     = 1,\r\n" );
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document.write( "     = 3,\r\n" );
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document.write( "     = 9,\r\n" );
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document.write( "     = 27,\r\n" );
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document.write( "     = 81,\r\n" );
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document.write( "     = 243.\r\n" );
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document.write( "At this point, it should be clear that there is no need to consider degrees higher than  = 81.\r\n" );
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document.write( "Trial and error method gives two solutions\r\n" );
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document.write( "    27 + 81 = 108,   81 + 27 = 108,\r\n" );
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document.write( "that are\r\n" );
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document.write( "     +  = 108,   +  = 108.\r\n" );
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document.write( "So, possible pairs (x,y) are  (3,4)  and  (4,3).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Commenting Edwin's post, the \"trial and error\" is the method which children learn intuitively
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