document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169986>Question 169986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help show me how to solve this quadratic equation by completing the square\r<BR>\n" );
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document.write( "w^2 - 5w = 14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125446 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=125446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-5w=14 ALIGN=MIDDLE  ALT=\"w%5E2-5w=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "Take half of the \"w\" coefficient -5 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2 ALIGN=MIDDLE  ALT=\"-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2 ALIGN=MIDDLE  ALT=\"-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2F2%29%5E2=25%2F4 ALIGN=MIDDLE  ALT=\"%28-5%2F2%29%5E2=25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Add this value to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-5w%2B25%2F4=14%2B25%2F4 ALIGN=MIDDLE  ALT=\"w%5E2-5w%2B25%2F4=14%2B25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F4 ALIGN=MIDDLE  ALT=\"25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-5w%2B25%2F4=81%2F4 ALIGN=MIDDLE  ALT=\"w%5E2-5w%2B25%2F4=81%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2-4%285w%29%2Bcross%284%29%2825%2Fcross%284%29%29=cross%284%29%2881%2Fcross%284%29%29 ALIGN=MIDDLE  ALT=\"4w%5E2-4%285w%29%2Bcross%284%29%2825%2Fcross%284%29%29=cross%284%29%2881%2Fcross%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the LCD 4 to clear the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2-20w%2B25=81 ALIGN=MIDDLE  ALT=\"4w%5E2-20w%2B25=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w-5%29%5E2=81 ALIGN=MIDDLE  ALT=\"%282w-5%29%5E2=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4w%5E2-20w%2B25 ALIGN=MIDDLE  ALT=\"4w%5E2-20w%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w-5%29%5E2 ALIGN=MIDDLE  ALT=\"%282w-5%29%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=2w-5=0%2B-sqrt%2881%29 ALIGN=MIDDLE  ALT=\"2w-5=0%2B-sqrt%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-5=9 ALIGN=MIDDLE  ALT=\"2w-5=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-5=-9 ALIGN=MIDDLE  ALT=\"2w-5=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the \"plus/minus\" to form two equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-5=sqrt%2881%29 ALIGN=MIDDLE  ALT=\"2w-5=sqrt%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w-5=-sqrt%2881%29 ALIGN=MIDDLE  ALT=\"2w-5=-sqrt%2881%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 81 to get 9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=5%2B9 ALIGN=MIDDLE  ALT=\"2w=5%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=5-9 ALIGN=MIDDLE  ALT=\"2w=5-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=14 ALIGN=MIDDLE  ALT=\"2w=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w=-4 ALIGN=MIDDLE  ALT=\"2w=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=14%2F2 ALIGN=MIDDLE  ALT=\"w=14%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-4%2F2 ALIGN=MIDDLE  ALT=\"w=-4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate \"w\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=7 ALIGN=MIDDLE  ALT=\"w=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-2 ALIGN=MIDDLE  ALT=\"w=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So the answers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+7 ALIGN=MIDDLE  ALT=\"w+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+-2 ALIGN=MIDDLE  ALT=\"w+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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