Question

if alpha, Britia and the zeros of the polynomial p (x) =ax2 +bx+c, then 1/alpha square +1 /bita squares
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Answer 1

Answer:

(b^2-2a)/c

Step-by-step explanation:

alpha+bita=-b/a,alpha*bita=c/a

to prove : 1/alpha^2+1/bita^2

=(bita^2+alpha^2)/(alpha*bita)^2

=[(alpha +bita)^2-2alpha*bita]/(alpha*bita)^2

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

=[(b^2/a^2)-(2c/a)]*a^2/c^2

=(b^2-2a)/c