Question

Find the value of K such that 3x^+2kx+x-k-5 have the sum of zero as half of their product

Answer 1

let product of zeros be y thus sum of zeros will be 2y

2y=-b/a

2y=-2k-1/3

y=-2k-1/6

now

y=-k-5/3

-2k-1/6=-k-5/3

2

Answer 2

if we want to find the value of k such that the sum of zeroes is half of it's product then k should be equals to 1(k=1)