Question

If alpha and beta are the zeros of the polynomial x square minus x minus K such that a minus b is equal to 9 find k

Answer 1

Given quadratic polynomia is x^2-x-k

Given alpha-beta =9------->1

from the equation sum of roots

alpha+beta=-b/a------->2

=1

solving 1 and 2 we get

alpha=5 and beta=-4

from the equation.... product of the roots =c/a

5×(-4) =-k

k=20