document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=730578>Question 730578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> classify conic sections x^2 - 14x - 9y + 22 = 0 write standard form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446739 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=446739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x squared and y to the power of 1; the equation is a parabola.\r<BR>\n" );
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document.write( "For standard form, solve for y as a function of x and then complete the square for x.  Do you want more complete help?  \r<BR>\n" );
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document.write( "\"Yes\", so then...\r<BR>\n" );
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document.write( "INCLUDING SOME DETAILS:\r<BR>\n" );
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document.write( "Conic sections will have one or more variables in degree 2, with variables <BR>\n" );
document.write( "to degree no higher than 2.  This is how you know your equation is a conic<BR>\n" );
document.write( "section.  Parabolas have one variable to degree 2 and the other variable (if  <BR>\n" );
document.write( "it's a two-variable equation) to degree 1.  This then is how we know your<BR>\n" );
document.write( "equation is a parabola.\r<BR>\n" );
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document.write( "Now, some of the process to start toward standard form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+14x+-+9y+%2B+22+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+14x+-+9y+%2B+22+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B22=9y ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B22=9y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, by just adding +9y to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F9%29x%5E2-%2814%2F9%29x%2B22%2F9 ALIGN=MIDDLE  ALT=\"y=%281%2F9%29x%5E2-%2814%2F9%29x%2B22%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F9%29x%5E2-%281%2F9%29%2A14x%2B22%2F9 ALIGN=MIDDLE  ALT=\"y=%281%2F9%29x%5E2-%281%2F9%29%2A14x%2B22%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We want an expression in x with coefficient of 1 to which we<BR>\n" );
document.write( "may Complete the Square...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F9%29%28x%5E2-14x%29%2B22%2F9 ALIGN=MIDDLE  ALT=\"y=%281%2F9%29%28x%5E2-14x%29%2B22%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Complete The Square.<BR>\n" );
document.write( "Now we need to use the term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2F2%29%5E2=49 ALIGN=MIDDLE  ALT=\"%2814%2F2%29%5E2=49\"   DISABLED_style= \"max-width:90%; height:auto;\" > and ADD it and SUBTRACT<BR>\n" );
document.write( "it to the right-hand side... You need to study to know why and how that value<BR>\n" );
document.write( "was picked...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F9%29%28x%5E2-14x%2B49%29%2B22%2F9+-49%2F9 ALIGN=MIDDLE  ALT=\"y=%281%2F9%29%28x%5E2-14x%2B49%29%2B22%2F9+-49%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, be sure you understand this step perfectly.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F9%29%28x-7%29%5E2-27%2F9 ALIGN=MIDDLE  ALT=\"y=%281%2F9%29%28x-7%29%5E2-27%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%281%2F9%29%28x-7%29%5E2-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F9%29%28x-7%29%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, DONE!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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