document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030904>Question 1030904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What type of conic is the equation? <BR>\n" );
document.write( "3x^2+2x+15y^2-4y=30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645644 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to adjust the equation into whichever standard form will fit variables and coefficients.  You will probably need to Complete the Squares to do this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2%2B%282%2F3%29x%29%2B15%28y%5E2-%284%2F15%29y%29=30 ALIGN=MIDDLE  ALT=\"3%28x%5E2%2B%282%2F3%29x%29%2B15%28y%5E2-%284%2F15%29y%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2%2B%282%2F3%29x%2B%281%2F3%29%5E2%29%2B15%28y%5E2-%284%2F15%29y%2B%282%2F15%29%5E2%29=30%2B3%281%2F3%29%5E2%2B15%282%2F15%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, for which you need to understand the lesson on Completing the Square;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B10%2F3%2B4%2F15 ALIGN=MIDDLE  ALT=\"3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B10%2F3%2B4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B50%2F15%2B4%2F15 ALIGN=MIDDLE  ALT=\"3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B50%2F15%2B4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B54%2F15 ALIGN=MIDDLE  ALT=\"3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B54%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B18%2F5 ALIGN=MIDDLE  ALT=\"3%28x%2B1%2F3%29%5E2%2B15%28y-2%2F15%29%5E2=30%2B18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%2F3%29%5E2%2B5%28y-2%2F15%29%5E2=10%2B6%2F5 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F3%29%5E2%2B5%28y-2%2F15%29%5E2=10%2B6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------------Although finishing the equation into standard form is still not finished, you see that the expression with x and the expression with y have POSITIVE coefficient, and the constant righthand members is also positive; but the coefficients on the left member's expressions are unequal.  The equation will be for an ELLIPSE. </SPAN>\n" );
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