Question

if α,β are the roots of ax²+bx+c=0, then (1/α²)+(1/β²)​

Answer 1

Answer:

sum of roots =alpha+beta=-b/a

product of roots=alpha.beta=c/a

1/alpha^2+1/beta^2= beta^2+alpha^2/alpha^2.beta^2

=(alpha+ beta)^2-2alpha beta/(alpha.beta)^2

=(-b/a)^2-2(c/a)÷(c/a)^2