Question

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

Answer 1

Product of roots =1

K/5=1 then k=5

Answer 2

P(x)= 5x^2+13x+k=0

Given that one root is the reciprocal of the other

==>Roots/zeroes of the polynomial=

a & 1/a

a=5,b=13 & c=k

Product of the roots=c/a

a*1/a=k/5

a/a=k/5

1=k/5

==>K =5

____________________________

Hope it helps

Happy learning ✨