document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186650>Question 1186650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello there,<BR>\n" );
document.write( "I am currently working on a math problem that I am struggling with.  Please help me solve the following problem:\r<BR>\n" );
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document.write( "Use completing the square to write the standard form of the expanded equation\r<BR>\n" );
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document.write( "10y^2-8x^2+80x+60y-190=0\r<BR>\n" );
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document.write( "___________=1\r<BR>\n" );
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document.write( "Thanks so much for your help!\r<BR>\n" );
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document.write( "-Diana </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817595 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello there,<BR>\n" );
document.write( "I am currently working on a math problem that I am struggling with.  Please help me solve the following problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Use completing the square to write the standard form of the expanded equation\r<BR>\n" );
document.write( "\n" );
document.write( "10y^2-8x^2+80x+60y-190=0\r<BR>\n" );
document.write( "\n" );
document.write( "___________=1\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks so much for your help!\r<BR>\n" );
document.write( "\n" );
document.write( "-Diana<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+10y%5E2+-+8x%5E2+%2B+80x+%2B+60y+-+190%2C+%22=%22%2C+0%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+10y%5E2+-+8x%5E2+%2B+80x+%2B+60y+-+190%2C+%22=%22%2C+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C+10y%5E2+%2B+60y+-+8x%5E2+%2B+80x+-+190%2C+%22=%22%2C+0%2C+10y%5E2+%2B+60y+-+8x%5E2+%2B+80x%2C+%22=%22%2C+190%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Rearranging GIVEN equation, and moving CONSTANT to right-side\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C+%2810y%5E2+%2B+60y%29+-+%288x%5E2+-+80x%29%2C+%22=%22%2C+190%2C+10%28y%5E2+%2B+6y%29+-+8%28x%5E2+-+10x%29%2C+%22=%22%2C+190%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+10%28y%5E2+%2B+6y+%2B+%28%281%2F2%29+%2A+%22%2B+6%22%29%5E2%29+-+8%28x%5E2++-++10x+%2B+%28%281%2F2%29+%2A+-+10%29%5E2%29%2C+%22=%22%2C+190+%2B+10%28%281%2F2%29+%2A+%22%2B+6%22%29%5E2+-+8%28%281%2F2%29+%2A+-+10%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > --- Taking ½ of b on x, also ½ of b on y,                                   \r\n" );
document.write( "                                                                                                squaring EACH result, then adding to\r\n" );
document.write( "                                                                                                both sides   \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+10%28y%5E2+%2B+6y+%2B+%28%22%2B+3%22%29%5E2%29+-+8%28x%5E2++-++10x+%2B+%28-+5%29%5E2%29%2C+%22=%22%2C+190+%2B+10%28%22%2B+3%22%29%5E2+-+8%28-+5%29%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+10%28y+%2B+3%29%5E2+-+8%28x+-+5%29%5E2%2C+%22=%22%2C+190+%2B+10%289%29+-+8%2825%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+10%28y+%2B+3%29%5E2+-+8%28x+-+5%29%5E2%2C+%22=%22%2C+80%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+10%28y+%2B+3%29%5E2+-+8%28x+-+5%29%5E2%2C+%22=%22%2C+80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+10%28y+%2B+3%29%5E2%2F80+-+8%28x+-+5%29%5E2%2F80%2C+%22=%22%2C+80%2F80%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+10%28y+%2B+3%29%5E2%2F80+-+8%28x+-+5%29%5E2%2F80%2C+%22=%22%2C+80%2F80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- Dividing by 80 in order to make right-side, 1\r\n" );
document.write( "Simplifying entire equation gives us: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C3%2C+%28y+%2B+3%29%5E2%2F8+-+%28x+-+5%29%5E2%2F10%2C+%22=%22%2C+1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ></PRE> </SPAN>\n" );
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