document.write( "Question 1047301: fiND THE VALUE OF: {(A^2-AB+B^2)/(A^2+AB+B^2)} IF A=(1-7^1/2)/(1+7^1/2) AND B=(1+7^1/2)/(1-7^1/2). \n" ); document.write( "
Algebra.Com's Answer #662844 by ikleyn(52793)\"\" \"About 
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\n" ); document.write( "Finf the value of: {(A^2-AB+B^2)/(A^2+AB+B^2)} IF A=(1-7^1/2)/(1+7^1/2) AND B=(1+7^1/2)/(1-7^1/2).
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document.write( "1.  Notice that AB = 1.  Therefore, \r\n" );
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document.write( "    \"%28A%5E2-AB%2BB%5E2%29%2F%28A%5E2%2BAB%2BB%5E2%29\" = \"%28%28A-B%29%5E2+%2B+AB%29%2F%28%28A%2BB%29%5E2+-+AB%29\" = \"%28%28A-B%29%5E2+%2B1%29%2F%28%28A%2BB%29%5E2+-+1%29\".\r\n" );
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document.write( "2.  Next,  A+B = \"-1%2F3\".   A-B = \"sqrt%287%29%2F12\".   It is pure arithmetic.\r\n" );
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document.write( "3.  Finally, your expression is  \"%28%28sqrt%287%29%2F12%29%5E2%2B1%29%2F%28%28-1%2F3%29%5E2+-1%29\" = \"%287%2F144%2B1%29%2F%281%2F9-1%29\" = \"%28%28151%2F144%29%29%2F%28%28-1%2F8%29%29\" = \"-151%2F18\".\r\n" );
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