document.write( "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.
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Algebra.Com's Answer #386566 by Alan3354(69443) $\"\"$ $\"About$

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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\n" ); document.write( " $\"%28x-2%29%5E2+%2B+%28y-6%29%5E2+=+25\"$
\n" ); document.write( "x = 2y
\n" ); document.write( "Sub for x
\n" ); document.write( " $\"%282y-2%29%5E2+%2B+%28y-6%29%5E2+=+25\"$
\n" ); document.write( " $\"5y%5E2+-+20y+%2B+15+=+0\"$
\n" ); document.write( " $\"y%5E2+-+4y+%2B+3+=+0\"$
\n" ); document.write( "y = 1, y = 3
\n" ); document.write( "--> (2,1) & (6,3)
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