SOLUTION: if (x 4) is equidistant from (5 -2) and (3 4) find x

Question 1086099: if (x 4) is equidistant from (5 -2) and (3 4) find x
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

The square of the distance from (x,4) to (5,-2) is 

 =  = .

The square of the distance from (x,4) to (3,4) is 

 =  = .


So, you need to solve this equation

 = ,   or

 = ,   or

61 - 10x = 9 - 6x,   or

61 - 9 = 10x - 6x,

4x = 52  ====>  x =  = 13.

Answer. x= 13.

Solved.

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