SOLUTION: "Use The Info Provided To Write The Standard Form Equation Of Each Circle" {{{ 8x+x^2-2y=64-y^2 }}} Im having trouble on how to actually answer this, and the steps that need to

Algebra ->  Circles -> SOLUTION: "Use The Info Provided To Write The Standard Form Equation Of Each Circle" {{{ 8x+x^2-2y=64-y^2 }}} Im having trouble on how to actually answer this, and the steps that need to      Log On


   



Question 1036843: "Use The Info Provided To Write The Standard Form Equation Of Each Circle"
+8x%2Bx%5E2-2y=64-y%5E2+
Im having trouble on how to actually answer this, and the steps that need to be taken. If you could explain step by step I would greatly appreciate it, if not I would be satisfied with any info that is provided

Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
8x+x^2-2y=64-y^2
put in form of x^2+y^2=r^2, where r is some number.
x^2+8x+y^2-2y=64
complete the square for both terms
x^2+8x+16+y^2-2y+1=64+16+1, because I have to add 16 to both sides.
(x+4)^2+(y-1)^2=81
It will be a circle with radius 9 and center of (-4,1)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
"Use The Info Provided To Write The Standard Form Equation Of Each Circle"
+8x%2Bx%5E2-2y=64-y%5E2+
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x%5E2+%2B+8x+%2B+y%5E2+-+2y+=+64
Complete the squares of the x & y terms
x%5E2+%2B+8x+%2B+16+%2B+y%5E2+-+2y+%2B+1+=+64+%2B+16+%2B+1
%28x%2B4%29%5E2+%2B+%28y-1%29%5E2+=+9%5E2