question_answer

If A and B are rational numbers and\[\frac{4+3\sqrt{5}}{4-3\sqrt{5}}\]\[A=+\,B\,\sqrt{5}\]. Find the values of A and B.

A)  \[\left( \frac{61}{29},\frac{24}{29} \right)\]                    

B)  \[\left( -\frac{29}{61},-\frac{29}{24} \right)\]

C)  \[\left( -\frac{24}{29},\frac{61}{29} \right)\]                   

D)  \[\left( -\frac{61}{29},-\frac{24}{29} \right)\]

E)  None of these