SOLUTION: Given the distance between (x,1) and (-2,5) is 2{{{ sqrt( 7) }}}, find the value(s) of x. Leave answer in simplified exact form. Help would be greatly appreciated.

Algebra ->  Linear-equations -> SOLUTION: Given the distance between (x,1) and (-2,5) is 2{{{ sqrt( 7) }}}, find the value(s) of x. Leave answer in simplified exact form. Help would be greatly appreciated.      Log On


   

Question 472022: Given the distance between (x,1) and (-2,5) is 2+sqrt%28+7%29+, find the value(s) of x. Leave answer in simplified exact form.
Help would be greatly appreciated.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given the distance between (x,1) and (-2,5) is 2+sqrt%28+7%29+, find the value(s) of x.
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d%5E2+=+diffy%5E2+%2B+diffx%5E2
28+=+4%5E2+%2B+%28x+%2B+2%29%5E2
%28x%2B2%29%5E2+=+12
x = sqrt(12) - 2 = 2sqrt(3) - 2
x = -sqrt(12) - 2 = -2sqrt(3) - 2