Question

if sum of the roots of the equation X²-X=k(2X- 1) is 0,then k=?

option a = -1
option b = -2
option c= 1/2
option d = -1/2​

Answer 1

-1/2

Given

x^2 -x = k(2x-1)

x^2 -x = 2kx - k

x^2 - x - 2kx + k

x^2 -x(2k + 1) +k =0

Also given

sum of roots =0

2k + 1 =0

2k = -1

k = -1/2

Hope it helps