document.write( "Question 596132: 1. If X^2+x+1=0 ,then what is the value of (x^3+1/x^3)^3 ?
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Algebra.Com's Answer #377568 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "I already answered 1\r\n" );
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document.write( "http://www.algebra.com/algebra/homework/equations/Equations.faq.question.596131.html \r\n" );
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document.write( "2. If X^X+Y=Y^3 and Y^X+Y=X^6*Y^3 ,where X and Y are natural numbers then what\r\n" );
document.write( "is the value of Y^X ?\r\n" );
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document.write( "There are no natural number solutions to that, so I assumed you must\r\n" );
document.write( "have left off the necessary parentheses to show where the exponents start and\r\n" );
document.write( "end.  So I rewrote it as this, which does have 2 natural number solutions:  \r\n" );
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document.write( "2. If X^(X+Y)=Y^3 and Y^(X+Y)=X^6*Y^3 ,where X and Y are natural numbers then\r\n" );
document.write( "what is the value of Y^X ?\r\n" );
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document.write( "or in superscripted exponent notation:\r\n" );
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document.write( "2. If  =  and  =  ,where X and\r\n" );
document.write( "Y are natural numbers then what is the value of Y^X ?\r\n" );
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document.write( "There are two solutions to that  (x,y) = (1,1) and (x,y) = (2,4)\r\n" );
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document.write( "So for the first solution  =  = 1\r\n" );
document.write( "And for the second  =  = 16\r\n" );
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document.write( "Edwin

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