exam Maths Puzzle Numerical Ability

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.

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exam Other Question

The sample space of an experiment is:
{A, B, C, D} AND P(A) = 0.1, P(B) = 0.3, P(C) = 0.4, P({A,C})=
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.