exam Maths Puzzle Numerical Ability

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

x^2 + x - k

I am having trouble with this problem and need some help. Thanks.

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exam Other Question

1) 1/A=1/M+1/T solve for T
I thought my LCD was AMT but its still not coming out right.
If someone could help thanks. Would someone check this for me and see if it is correct? I do apreciate it and thank you so much.

Add -3/5 + (8/35)

My answer is -13/35