SOLUTION: The distance between the points A 1,2k) and B (1-k, 1) is √11-9k.Find the possible values of k.

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Question 1136726: The distance between the points A 1,2k) and B (1-k, 1) is √11-9k.Find the possible values of k.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Use the distance formula, aka the Pythagorean Theorem:

%28sqrt%2811-9k%29%29%5E2+=+%281-%281-k%29%29%5E2%2B%282k-1%29%5E2

Basic algebra leads to a quadratic equation that does not factor, so the answers are ugly irrational numbers.

You can do the work to find them.

(Or check to see if you have posted the problem correctly; this kind of problem, as a learning exercise, would usually have rational numbers for answers.)