SOLUTION: I need help with this problem even though I am familiar with the equation of a circle. Question: Find all points (x,y) which lie on a circle with center (2,6) and radius of 5 if

Algebra ->  Length-and-distance -> SOLUTION: I need help with this problem even though I am familiar with the equation of a circle. Question: Find all points (x,y) which lie on a circle with center (2,6) and radius of 5 if       Log On


   

Question 614467: I need help with this problem even though I am familiar with the equation of a circle. Question: Find all points (x,y) which lie on a circle with center (2,6) and radius of 5 if it's x-coordinate is twice its y coordinate. Only an algebraic solution is accepted. I can plot this with points using the center and radius but I just can't figure it out algebraicly.
Thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all points (x,y) which lie on a circle with center (2,6) and radius of 5 if it's [sic] x-coordinate is twice its y coordinate. Only an algebraic solution is accepted. I can plot this with points using the center and radius but I just can't figure it out algebraicly.
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%28x-2%29%5E2+%2B+%28y-6%29%5E2+=+25
x = 2y
Sub for x
%282y-2%29%5E2+%2B+%28y-6%29%5E2+=+25
5y%5E2+-+20y+%2B+15+=+0
y%5E2+-+4y+%2B+3+=+0
y = 1, y = 3
--> (2,1) & (6,3)