question_answer

If \[\alpha \ne \beta \]but \[{{\alpha }^{2}}=5\alpha -3\]and\[{{\beta }^{2}}=5\beta -3\], then the equation whose roots are \[\frac{\alpha }{\beta }\]and \[\frac{\beta }{\alpha }\] is

A)  \[3{{x}^{2}}-19x+3=0\]

B)  \[{{x}^{2}}-5x+3=0\]

C) \[3{{x}^{2}}-25x+3=0\]

D)       \[{{x}^{2}}+5x-3=0\]