Question

If the sum of the roots of the equation x square- (k+6)x +2(2k-1)= 0 is equal to half of their product, then the value of k is?

Answer 1

Answer:

7

Step-by-step explanation:

we know x square -(sum of roots)x+ product of roots=0

sum of roots =k+6

product of roots =2(2k-1)

a.t.q.

sum of roots =(product of roots )/2

k+6={2(2k-1)}/2

k+6=2k-1

k-2k=-1-6

-k=-7

k=7