Question

If the sum of the roots of the equation x² – (k + 6)x + 2 (2k – 1) = 0 is equal to half of their product, then k =
A. 6
B. 7
C. 1
D. 5

Answer 1

options f is a correct

hope you are not the

Answer 2

B. 7

Step-by-step explanation:

x² – (k + 6)x + 2 (2k – 1) = 0

sum of roots = -b/a = - (-k-6)/ 1 = k+6

product of roots = c/a = 2(2k -1) /1 = 4k - 2

Given sum of roots = product of roots/ 2

So k + 6 = (4k - 2) / 2

2k + 12 = 4k - 2  

2k = 14

Therefore k = 14/2 = 7  

Option B is the answer.