Answer:
k = -15/2
Explanation:
Given one solution of the equation is 4, tells us that x equals 4. So we can plug it into the equation and solve for k.
It becomes:
3(4^2) + 4k - 18 = 0
Solve.
3(16) + 4k - 18 = 0
48 + 4k - 18 = 0
30 + 4k = 0
4k = -30
k = -30/4
Simplify.
k = -15/2
Thus k is equivalent to -15/2 or -7.5.