exam Maths Puzzle Numerical Ability

I was doing great until I ran into this one please help!

Find all positive values for k for which each of the following can be factored

x^2 + 5x + k

Thank you very much!

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exam Other Question

1)show me how to compute the following:
log_2(4)log_4(6)log_6(8)


2a)write as sum and difference logs:
b)show log_b(A/D)=log_b(A)-log_b(D)
log_4[-4^3x^2(x-1)^1/2/(x+3)^3
Solve by addition
x+y=7
x-Y=9