document.write( "Question 260571: how do you classify this conic and write its equation in standard form and then how do you sketch its graph
\n" ); document.write( "x square+ y square - 6x+ 4y +10= 0 \n" ); document.write( "

Algebra.Com's Answer #192050 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square in x and y.
\n" ); document.write( " $\"x%5E2%2B+y%5E2-6x%2B+4y+%2B10=+0+\"$
\n" ); document.write( " $\"%28x%5E2-6x%29%2B+%28y%5E2%2B4y%29+%2B10=+0+\"$
\n" ); document.write( " $\"%28x%5E2-6x%2B9%29%2B+%28y%5E2%2B4y%2B4%29+%2B10=+9%2B4+\"$
\n" ); document.write( " $\"%28x-3%29%5E2%2B+%28y%2B2%29%5E2=+3+\"$
\n" ); document.write( "Compare this to the general equation for a circle centered at (h,k) with a radius R is:
\n" ); document.write( " $\"%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2\"$
\n" ); document.write( "This equation is a circle centered at (3,-2) with a radius of $\"R=sqrt%283%29\"$ .
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