Question

If the zeroes of the polynomial x²-5x+k are reciprocal of each other find k

Answer 1

Answer:

k=1

Step-by-step explanation:

let the roots b x nd 1 by x

=>x multiply by 1 by x = k

x cancelled

=>k=1

Answer 2

Answer:

Step-by-step explanation:

use product of zero

let the zeros be a and b

as said one zero is reciprocal of other

therefor, b = 1/a

product of zeros = constant term / cofficent of x^2

a.b = a.1/a = k/1 ( a is cancel )

1 = constant term = k