Question

6. If p and q are the zeroes of the polynomial f(x) = x² - 5x + k such that p-q =1, find the
value of k.

Answer 1

Answer:

p+q= -b/a

p+q=5

p-q=1 (given)

by solving p=3 q=2

p*q=6

k=6

Answer 2

sum of roots= p+q

product of roots= pq

k=6