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The distance between the points (x,21) and (4,7) is 10sqrt(3) Find the sum of all possible values of x.

 Aug 8, 2021
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Use distance formula

(x-4)^2 + (21-7)^2 = (10 sqrt3)^2

 (x-4)^2 + 196 = 300

(x-4)^2    = 104

x^2 - 8x -88 = 0         Quadratic Formula shows x = 4 + 2 sqrt(26)    and    4 - 2 sqrt (26)    Add them together = 8

 Aug 8, 2021

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