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

 Jul 31, 2021
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(x-4)^2 + (21- -7)^2  = (10 sqrt3)^2

x^2 - 8x + 800 = 300

x^2 - 8x + 500 = 0         quadratic formula or factoring shows x = 4 +- 22i      summed = 8

 Jul 31, 2021

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