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put this solution on YOUR website!Complete the square and write the given equation in the standard form for the equation of a circle. then give the center and redius of the circle and sketch a graph.
x^2 + 8x + y^2 + 4y + 16= 0
x^2+8x+___+y^2+4y+___=-16+___+___
We need to fill the blanks with (b/2)^2 from each square we wish to complete. Whatever you do to one side you have to do to the other side.
The first set of blanks get (8/2)^2=4^2=16 the second get (4/2)^2=(2)^2=4
x^2+8x+16+y^2+4y+4=-16+16+4
(x^2+8x+16)+(y^2+4y+4)=4 Factor
<---standard form of the equation of the circle.
The standard form of a circle is:
, where (h,k) is the center and
is the radius.
For this circle the center is (-4,-2) and the radius is
Happy Calculating!!!
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