exam Maths Puzzle Numerical Ability

What is the value of k if one root root of (3k+1)x^2=-5 is 1? Please help me :)

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exam Other Question

Given just the slop of two lines, how can I tell if they lines are perpendicular? Parallel? FOR FUNMATH, please help!! I cannot get the answer that is provided. The answer is (256/16)61/4 = (256^1/4)/16^1/4 = 4/2 = 2.
The problem is Solve 6/ x-3 - 7/x-5 = 1 - 11/x-1.