if alpha and beta are the zeros of polynomial f (x) ax square + bx + c

1.	if alpha and beta are the zeros of polynomial f (x) ax square + bx + c then find one by Alpha square + 1 by beta square
Answer» Let X and y are the ROOTS for f(x)=AX square+bx+c. Then1/xsquare +1/ysquare = xsquare+ysquare/xywholesquare =x+y wholesquare-2xy/xywholesquare =in numerator-b/a-2c/a,in DENOMINATOR c/a =(-b-2c/a)(a/c) =-b-2c/c

if alpha and beta are the zeros of polynomial f (x) ax square + bx + c then find one by Alpha square + 1 by beta square

Answer»

Let X and y are the ROOTS for f(x)=AX square+bx+c.

Then1/xsquare +1/ysquare = xsquare+ysquare/xywholesquare

=x+y wholesquare-2xy/xywholesquare

=in numerator-b/a-2c/a,in DENOMINATOR c/a

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

=-b-2c/c