document.write( "Question 53516: Find the center, radius, and intercepts for the circle
\n" ); document.write( "3x^2 + 3y^2 + 8y - 4 = 0 \n" ); document.write( "
Algebra.Com's Answer #35756 by venugopalramana(3286)\"\" \"About 
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Find the center, radius, and intercepts for the circle
\n" ); document.write( "3x^2 + 3y^2 + 8y - 4 = 0
\n" ); document.write( "x^2+y^2+8y/3 -4/3=0
\n" ); document.write( "(x-0)^2 + [(y)^2+2(y)(4/3)+(4/3)^2-(4/3)^2]-4/3 = 0
\n" ); document.write( "(x-0)^2 + {y+(4/3)}^2=4/3 +16/9 = 28/9
\n" ); document.write( "comparing with std.eqn.
\n" ); document.write( "(x-h)^2 + (y-k)^2 = r^2.....we have
\n" ); document.write( "h=0....k=-4/3.....centre =(0,-4/3).......r= sqrt(28)/3
\n" ); document.write( "x intercepts are when y=0....
\n" ); document.write( "3x^2=4
\n" ); document.write( "x= +2/sqrt(3) ...and....x = -2/sqrt(3)
\n" ); document.write( "y intercepts are when x=0...
\n" ); document.write( "3y^2+8y-4=0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%28+%28-8%29%5E2-4%2A%283%29%2A%28-4%29+%29%29%2F%282%2A3%29+\"
\n" ); document.write( "\"x+=+%28-8+%2B-+sqrt%28+112+%29%29%2F%286%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-4+%2B-2%2Asqrt%28+7+%29%29%2F%283%29+\" \r
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