exam Maths Puzzle Numerical Ability

hey,
could you please solve the following question, thanks,
The graph of function y= x^2 - kx + k + 8 touches the x-axis at one point. What
is the value of k?

I will be waiting for the solution,
and thanks again,

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exam Other Question

Problem #1
Which of the ordered pairs (3,1),(0,-4),(-4,0),(-3,-7) are the solutions for the equations for the equation x-y=4?

answer is within these:
(a) (0,-4) ,(-4,0),and Tell wether the number is prime or compostie.If it is composite,write its prime factorization.

97

Any help with this equation would be greatly appreciated:)