Question

if alpha and beta are the zeros of the polynomial ax2+bx+c then find alpha/beta +beta/alpha.

Answer 1

=a/b + b/a

= a^2 + b^2 /ab

= (a+b)^2 -2ab / ab

= ( -b/a) ^2 - 2c/a / c/a

= b^2 / a^2 - 2c/a / c/a

= b^2 - 2ac/ a^2 / c/a

= b^2 - 2ac / ac