SOLUTION: 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).

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).
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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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).
~~~~~~~~~~~~~~~~~~~~~~~~~

1.  Notice that AB = 1.  Therefore, 

     =  = .


2.  Next,  A+B = .   A-B = .   It is pure arithmetic.

3.  Finally, your expression is   =  =  = .

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