Question

Find the value of alpha³+ beta³

if the alpha and beta are the zeroes of quadratic polynomial 2x+13x-24​

Answer 1

a=2, b=13, c=-24

alpha + beta =-b/a

=-13/2

alpha. beta=c/a

=-24/2=-12

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

(-13/2)^3= alpha^3+beta^3 +3(-12)(-13/2)

alpha^3 + beta^3 = -2197/8 - 234

=-2197-1872/8 =-4069/8