document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966683>Question 966683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please tell me how to complete the square for 4x^2+25y^2-33x+50y-311=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590820 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "to complete the square for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B25y%5E2-33x%2B50y-311=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B25y%5E2-33x%2B50y-311=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > first group <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms together and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms together \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2-33x%29%2B%2825y%5E2%2B50y%29-311=0 ALIGN=MIDDLE  ALT=\"%284x%5E2-33x%29%2B%2825y%5E2%2B50y%29-311=0\"   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=4%28x%5E2-%2833%2F4%29x%29%2B25%28y%5E2%2B2y%29-311=0 ALIGN=MIDDLE  ALT=\"4%28x%5E2-%2833%2F4%29x%29%2B25%28y%5E2%2B2y%29-311=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...recall the square of difference <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a-b%29%5E2=a%5E2-2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> so, we need to add and subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   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=4%28x%5E2-%2833%2F4%29x%2Bb%5E2%29-b%5E2%2B25%28y%5E2%2B2y%2Bb%5E2%29-b%5E2-311=0 ALIGN=MIDDLE  ALT=\"4%28x%5E2-%2833%2F4%29x%2Bb%5E2%29-b%5E2%2B25%28y%5E2%2B2y%2Bb%5E2%29-b%5E2-311=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "...since for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > variable we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=33%2F4 ALIGN=MIDDLE  ALT=\"2ab=33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   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=2ab=33%2F4 ALIGN=MIDDLE  ALT=\"2ab=33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1b=33%2F4 ALIGN=MIDDLE  ALT=\"2%2A1b=33%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=33%2F8 ALIGN=MIDDLE  ALT=\"b=33%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we do same with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > variable where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=2 ALIGN=MIDDLE  ALT=\"2ab=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1 ALIGN=MIDDLE  ALT=\"b=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then our equation will be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2-%2833%2F8%29x%2B%2833%2F8%29%5E2%29-4%2833%2F8%29%5E2%2B25%28y%5E2%2B2y%2B1%5E2%29-25%2A1%5E2-311=0 ALIGN=MIDDLE   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=4%28x%5E2-%2833%2F8%29%29%5E2-%281089%2F16%29%2B25%28y%2B1%29%5E2-25-311=0 ALIGN=MIDDLE  ALT=\"4%28x%5E2-%2833%2F8%29%29%5E2-%281089%2F16%29%2B25%28y%2B1%29%5E2-25-311=0\"   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=4%28x%5E2-%2833%2F8%29%29%5E2-%281089%2F16%29%2B25%28y%5E2%2B2y%2B2%5E2%29-%28336%2A16%2F16%29=0 ALIGN=MIDDLE   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=4%28x%5E2-%2833%2F4%29%29%5E2-%281089%2F16%29%2B25%28y%5E2%2B2y%2B2%5E2%29-%285376%2F16%29=0 ALIGN=MIDDLE  ALT=\"4%28x%5E2-%2833%2F4%29%29%5E2-%281089%2F16%29%2B25%28y%5E2%2B2y%2B2%5E2%29-%285376%2F16%29=0\"   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=4%28x-33%2F8%29%5E2%2B25%28y%2B1%29%5E2-6465%2F16=0 ALIGN=MIDDLE  ALT=\"4%28x-33%2F8%29%5E2%2B25%28y%2B1%29%5E2-6465%2F16=0\"   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=4%28x-33%2F8%29%5E2%2B25%28y%2B1%29%5E2=6465%2F16 ALIGN=MIDDLE  ALT=\"4%28x-33%2F8%29%5E2%2B25%28y%2B1%29%5E2=6465%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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