4x^2 + 7x + k
By Vieta's Theorem :
Product of the roots = k/4 ....so....
(-7 + i sqrt (79) ) (-7 - i sqrt (79) )
_____________ * ______________ =
8 8
49 - 79i^2
________ =
64
49 - 79 (-1)
__________ =
64
49 + 79
________ =
64
128
____ = 2
64
And this = k/4
So.....
k = 8