SOLUTION: Find the coordinates of the four points which have integer coordinates and are a distance of 5 from the point (1, 2). Hint: 5 = 12 + 22.

Algebra ->  Linear-equations -> SOLUTION: Find the coordinates of the four points which have integer coordinates and are a distance of 5 from the point (1, 2). Hint: 5 = 12 + 22.      Log On


   

Question 1106555: Find the coordinates of the four points which have integer coordinates and are a distance of 5 from the point (1, 2). Hint: 5 = 12 + 22.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The circle centered at (1,2) with a radius of 5 is,
%28x-1%29%5E2%2B%28y-2%29%5E2=5%5E2
So choose any x and solve for y.
As an example, x=1,
%281-1%29%5E2%2B%28y-2%29%5E2=5%5E2
y-2=0+%2B-+3
y=2+%2B-+3
y=5 and y=-1
So,
(1,5) and (1,-1) are two points.
Find two more by choosing another value for x.