document.write( "Question 656600: x^+y^-4x+18y= -69\r
\n" ); document.write( "\n" ); document.write( "Write the equation of the circle in standard form. Find the center, radius and intercepts \n" ); document.write( "

Algebra.Com's Answer #409787 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
x^+y^-4x+18y= -69
\n" ); document.write( "Write the equation of the circle in standard form. Find the center, radius and intercepts
\n" ); document.write( "**
\n" ); document.write( "x^2+y^2-4x+18y= -69
\n" ); document.write( "complete the square
\n" ); document.write( "(x^2-4x+4)+(y^2+18y+81)= -69+4+81=16
\n" ); document.write( "(x-2)^2+(y+9)^2=16
\n" ); document.write( "center: (2,-9)
\n" ); document.write( "radius=√16=4
\n" ); document.write( "..
\n" ); document.write( "x-intercepts
\n" ); document.write( "set y=0
\n" ); document.write( "(x-2)^2+(y+9)^2=16
\n" ); document.write( "(x-2)^2+81=16
\n" ); document.write( "(x-2)^2=-65
\n" ); document.write( "x-2=ą√-65
\n" ); document.write( "x=2ą√-65=2ą√(65) i
\n" ); document.write( "x-intercept:none
\n" ); document.write( "..
\n" ); document.write( "y-intercepts:
\n" ); document.write( "set x=0
\n" ); document.write( "(x-2)^2+(y+9)^2=16
\n" ); document.write( "4+(y+9)^2=16
\n" ); document.write( "(y+9)^2=12
\n" ); document.write( "y+9=ą√12
\n" ); document.write( "y=-9ą√12
\n" ); document.write( "y≈-12.46 and -5.5\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );