Question

If the zeroes of t quadratic polynomial x^2-5x+k are the recipocal of each other then find the value of k?

Answer 1

Hii friend,

Let the one zero of the polynomial X²-5X+K be @

Then, the other zero = 1/@

Therefore,


Product of zeros = @ × 1/@ = 1

But , the product of zeros = Constant term/Coefficient of X² = K / 1

Therefore,

K/1 = 1

K = 1


Hence,

K = 1.


HOPE IT WILL HELP YOU..... :-)