Ther are twi factors of - 36 such that one factor is 11 less than half of the other factor.

The 2 factors are - 2 and 18.

Step-by-step explanation:

xy = - 36

Let y = 0.5x - 11 so

x (0.5x - 11) = - 36

0.5x^2 - 11x + 36 = 0

0.5 (x^2 - 22x + 72) = 0

(x - 4) (x - 18) = 0

x = 4, 18.

Try x = 18:-

The 2 numbers which are factors of - 36 must be - 2 and 18 because they fit the requirement that 0.5 (18) - 11 = 9 - 11 = - 2.