If α and β are the roots of equation x2 - 2x - 1 = 0, then what is the equation whose roots are \(\frac{{{\alpha ^3}}}{{{\beta ^2}}}\) and \(\frac{{{\beta ^3}}}{{{\alpha ^2}}}\)?
1
x2 - 82x - 1 = 0
2
x2 + 42x - 1 = 0
3
x2 - 41x - 1 = 0
4
None of the above