Question

if alpha and beta are the zeros of quadratic polynomial
f( x )=aX^2+ bx + c.
then find the value of
1/alpha^3 +1/bita^3.​

Answer 1

Answer:

step by step explanation☝

answer is 3abc-b^3 /c^3

Answer 2

Answer:

3abc - b^3/c^3

Step-by-step explanation:

1/alpha^3 + 1/beta^3 = alpha^3+ beta^3/alpha^3.beta^3

alpha+beta=-b/a

alpha. beta=c/a.

alpha^3+beta^3=(alpha+beta)^3 =alpha^3+beta^3+3alpha.beta(alpha+beta).

=3abc-b^3/a^3

from this on substitution

3abc-b^3/a^3/c^3/a^3=3abc-b^3/c^3