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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. 

 May 17, 2021
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10  sqrt (3)  = sqrt  300

 

Using  the  square of  the  distance  formula   we  have

 

(x - 4)^2  +  ( -7 - 21)^2  =  300      simplify

 

(x  - 4)^2   + 28^2   = 300

 

(x - 4)^2  +  784  = 300

 

(x - 4)^2   =  - 484

 

No real solution  for  x   ......!!!

 

 

cool cool cool

 May 17, 2021

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