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)  \[+\,\,\frac{61}{29}\And +\,\,\frac{24}{29}\]    

B)  \[-\,\,\frac{29}{61}\And -\,\,\frac{29}{24}\]

C)  \[-\,\,\frac{24}{29}\And +\,\,\frac{61}{29}\]      

D)  \[-\,\,\frac{61}{29}\And -\,\,\frac{24}{29}\]

E)  None of these