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Question
Given A = (x + 2, -2) and B (11, 6). Find x if AB = 17.
Solution
AB = 17
AB2 = 289
(11 - x - 2)2 + (6 + 2)2 = 289
x2 + 81 - 18x + 64 = 289
x2 - 18x - 144 = 0
x2 - 24x + 6x - 144 = 0
x(x - 24) + 6(x - 24) = 0
(x - 24) (x + 6) = 0
x = 24, -6
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