document.write( "Question 77990: I can't figure out this hyperbola: (((3x^2 + y^2 +18x - 2y + 4=0))). This is what I've tried so far: 3x^2/3 + y^2 + 18x/3 - 2y +4=0
\n" ); document.write( " x^2 +y^2 + 6x - 2y =-4
\n" ); document.write( " x^2/-4 + y^2/-4 + -3x/2 + y/2 = 1)))
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Algebra.Com's Answer #55896 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
since the squared terms are both positive, this is an ellipse rather than a hyperbola...start by regrouping terms\r
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\n" ); document.write( "\n" ); document.write( "3(x^2+6x+___)+y^2-2y+___=-4...now complete the squares 3(x^2+6x+9)+y^2-2y+1=-4+27+1...so 3(x+3)^2+(y-1)^2=24\r
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\n" ); document.write( "\n" ); document.write( "dividing by 24 gives \"%28%28%28x%2B3%29%5E2%29%2F8%29%2B%28%28%28y-1%29%5E2%29%2F24%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "an ellipse centered at (-3,1); with the foci at (-3,-3) and (-3,5)
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