document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4350>Question 4350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the quadratic equation x squared+4x-5=0 by completing squares.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1987 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Begin by adding 5 to each side to set up the \"completing the square\" process.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+-+5+=+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=x%5E2+%2B+4x++=++5 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x++=++5\"   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=x%5E2+%2B+4x+%2B+_____+=+5+%2B+_____ ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+%2B+_____+=+5+%2B+_____\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take half of the 4 and square, which is 2 squared, or 4.  Add 4 to each side of the equation to create a perfect square trinomial on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+%2B+4+=+5+%2B+4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+%2B+4+=+5+%2B+4\"   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%2B2%29%5E2+=+9+ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%5E2+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "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=x+%2B+2+=+0+%2B-+3 ALIGN=MIDDLE  ALT=\"x+%2B+2+=+0+%2B-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 2 from each side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B2+-+2+=+-2+%2B-+3 ALIGN=MIDDLE  ALT=\"x+%2B2+-+2+=+-2+%2B-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2+%2B-+3 ALIGN=MIDDLE  ALT=\"x+=+-2+%2B-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the first case, x = -2 + 3 = 1<BR>\n" );
document.write( "In the second case, x = -2 - 3 = -5\r<BR>\n" );
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document.write( "Check answers:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For x = 1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E2+%2B+4%2A1+-+5+=+0 ALIGN=MIDDLE  ALT=\"1%5E2+%2B+4%2A1+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For x = -5, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%5E2+%2B+4%2A%28-5%29+-+5+=+0 ALIGN=MIDDLE  ALT=\"%28-5%29%5E2+%2B+4%2A%28-5%29+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Both answers check!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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