Question

if one root of 5x²+13x+k= 0 is the reciprocal of tha other root,then find value of k.

Answer 1

let e and f be the zeroes of the  polynomial

then A.T.Q

e=1/f

1=ef

product of zeroes =1

ef=1=c/a

1=k/5

k=5

hence the value of k is 5