Question

.

Answer 1

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

Answer 2

you can determine the values of alpha and beta here. they are the two distinct zeros of the polynomial x^2-5x+3.