Question

If alpha and beta are the zeroes if the polynomial p(x)=x²-mx+n,then find the value of alpha/beta+beta/alpha

Answer 1

α+β= m

αβ=n

α/β+β/α

=α²+β²/αβ

=(α+β)²-2αβ/αβ

= m²-2n/n

=m²/n - 2