Question

if alpha and beta are the zeros of the polynomial 2 x square - 7 x + 5, then find the value of Alpha square divided by beta + beta square divided by Alpha​

Answer 1

α²/β²+β²/α²=α³+β³/αβ

now α+β=-(-7)/2=7/2

αβ=5/2

7/2+2*5/2/5/2=17/2/5/2=17/5