if alpha and beta are the zeros of the polynomial = 2 x square + bx + c then 1 by Alpha square + 1 by beta square equals to
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zeroes of the eqn means the roots of the eqn..
so acc. to the formula.. (i assume alpha as v and beta as w for convinence)
v+w=-b/2
vw=c/2
so 1/v^2+1/w^2=(1/v+1/w)^2 - 2/vw
=(v+w/vw)^2-2/vw
putting the values of v+w and vw that we have already obtained
we get:
b^2/c^2-4/c
so acc. to the formula.. (i assume alpha as v and beta as w for convinence)
v+w=-b/2
vw=c/2
so 1/v^2+1/w^2=(1/v+1/w)^2 - 2/vw
=(v+w/vw)^2-2/vw
putting the values of v+w and vw that we have already obtained
we get:
b^2/c^2-4/c
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