document.write( "Question 1086530: If (x+(1/x))^2 = 7 and x is a positive real number, find the exact value of x^3 + 1/x^3\r
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Algebra.Com's Answer #700769 by ikleyn(52855) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  From   = 7  you have   = .\r\n" );
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document.write( "2.  It implies \r\n" );
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document.write( "     =  =  =  +  =  +  =  + .\r\n" );
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document.write( "    Now replace in the last term    by    (based on n.1),  and you will get\r\n" );
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document.write( "     =  + ,   or\r\n" );
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document.write( "     = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. $\"x%5E3+%2B+1%2Fx%5E3\"$ = $\"4%2Asqrt%287%29\"$ .\r
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