Solve the problem.

find all values of k so that the given points are\sqrt {29} units apart. (-5, 5), (k, 0)
choose the right answer
a. 3, 7
b. 7
c. -3, -7
d. -7

The solution for this would be 

29 = (k +5)^2 + (0 - 5)^2 
29 = k^2 + 10k + 25 + 25 
k^2 + 10k + 21 = 0 
(k + 3)(k + 7) = 0 

k+ 3 = 0 
k = -3 
k + 7 = 0 
k = -7 

So the correct answer to this question is c. -3, -7.

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