Question

Find the value of k, if the distance between the point is (k, -1) and (3,2) is 5

Answer 1

Answer:

5^2 = ( 3 - k) ^2 + ( 2 + 1) ^2

25 = 9 + k^2 - 6k + 9

0 = k^2 - 6k - 7

0 = k^2 - 7k + k - 7

0 = k( k - 7) + 1 ( k - 7)

0 = ( k - 7) ( k + 1)

k = 7, - 1