document.write( "Question 584835: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2-4x-8y+4=o \n" ); document.write( "

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Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2-4x-8y+4=0
\n" ); document.write( "complete the square
\n" ); document.write( "(x^2-4x+4)+(y^2-8y+16)=-4+4+16
\n" ); document.write( "(x-2)^2+(y-4)^2=16
\n" ); document.write( "center: (2,4)
\n" ); document.write( "radius: √16=4
\n" ); document.write( "..
\n" ); document.write( "x-intercept
\n" ); document.write( "set y=0
\n" ); document.write( "x^2-4x+4=0
\n" ); document.write( "(x-2)^2=0
\n" ); document.write( "x=2 (multi. 2)
\n" ); document.write( "..
\n" ); document.write( "y-intercepts
\n" ); document.write( "set x=0
\n" ); document.write( "y^2-8y+4=0
\n" ); document.write( "solve by quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=1, b=-8, c=4
\n" ); document.write( "y=[8ą√(64-4*1*4)]/2*1
\n" ); document.write( "y=[8ą√48]/2=[8ą6.928]/2=1.072/2 or 14.92802=.536 and 7.464
\n" ); document.write( "y≈0.536
\n" ); document.write( "and
\n" ); document.write( "y≈7.464 \n" ); document.write( "

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