SOLUTION: Given the distance between (x,1) and (-2,5). Find the value(s) of x. please leave it in simplest form

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Question 335171: Given the distance between (x,1) and (-2,5). Find the value(s) of x. please leave it in simplest form
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula,
D%5E2=%28x1-x2%29%5E2%2B%28y1-y2%29%5E2
D%5E2=%28x-1%29%5E2%2B%28-2-5%29%5E2
D%5E2=%28x-1%29%5E2%2B%28-7%29%5E2
D%5E2=%28x-1%29%5E2%2B49
%28x-1%29%5E2=D%5E2-49
x-1=0+%2B-+sqrt%28D%5E2-49%29
highlight%28x=1+%2B-+sqrt%28D%5E2-49%29%29

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
d = distance between points (x,1) and (-2,5)

d^2 = (x+2)^2 + (1-5)^2

x = -2 +/- sqrt(d^2 - 16)