exam Maths Puzzle Numerical Ability

One root of the function y=x^2-10x+k is 5+2isqrt3. What is the value of k????

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2. A student thinks that P(n) = n^3 - n is always a multiple of 6 for all natural numbers n. What do you think? Provide a mathematical argument to show that the student is correct or a counter example to show that the student is wrong. Please solve the simltaneous equations 8logx base 9 - 9logy base 27=8 and logx base 3 + 8logy base 8=13

im really stuck on this question!!