document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86270>Question 86270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Thanks in advance for all of your help!!\r<BR>\n" );
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document.write( "Solve by completing the square...<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+4x+3=0<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=5x+2<BR>\n" );
document.write( "3. 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-8x-9=0<BR>\n" );
document.write( "4. 4<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+2x-3=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62394 by </B><A HREF=/tutors/aboutme.mpl?userid=scianci><B>scianci(186)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scianci><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=62394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When completing the square, you want to isolate the constant. For #1, then, you'd have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+ 4x = -3.<BR>\n" );
document.write( "The next step, if applicable, is to factor out the lead coefficient [Not necessary in this case ; I'll demonstrate it in solving #3]<BR>\n" );
document.write( "Then, divide the linear coefficient, in this case 4, by 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2 ALIGN=MIDDLE  ALT=\"4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "Then, square the result: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "Add this to both sides of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+ 4x + 4 = -3 + 4<BR>\n" );
document.write( "Now, factor the left side. It is a perfect-square trinomial which is what completing the square creates, so it'll factor as the square of a binomial:<BR>\n" );
document.write( "(x + 2)^2 = 1<BR>\n" );
document.write( "Take square roots of both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2B-sqrt%281%29%29 ALIGN=MIDDLE  ALT=\"%28%2B-sqrt%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2B-sqrt%281%29%29 ALIGN=MIDDLE  ALT=\"%28%2B-sqrt%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B-1 ALIGN=MIDDLE  ALT=\"%2B-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve each equation individually:<BR>\n" );
document.write( "x + 1 = 1 , x + 1 = -1<BR>\n" );
document.write( "x = 0 , x = -2<BR>\n" );
document.write( "Same idea for #2 ; isolate the constant: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 5x = 2<BR>\n" );
document.write( "Then proceed exactly as in #1 above. I'll let you finish it.<BR>\n" );
document.write( "For #3, start off the same way, by isolating the constant:<BR>\n" );
document.write( "2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-8x = 9<BR>\n" );
document.write( "Next, factor out the lead coefficient:<BR>\n" );
document.write( "2(x^2 - 4x) = 9<BR>\n" );
document.write( "Then, complete the square on the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4x part:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F2 ALIGN=MIDDLE  ALT=\"-4%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -2 ; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E2 ALIGN=MIDDLE  ALT=\"%28-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4<BR>\n" );
document.write( "2(x^2 - 4x + 4) = 9 + 2(4) [don't forget the 2 that got factored out at the start]<BR>\n" );
document.write( "2(x - 2)^2 = 17<BR>\n" );
document.write( "(x - 2)^2 = 17/2<BR>\n" );
document.write( "x - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B-sqrt%2817%2F2%29 ALIGN=MIDDLE  ALT=\"%2B-sqrt%2817%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B-sqrt%2817%2F2%29 ALIGN=MIDDLE  ALT=\"%2B-sqrt%2817%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x - 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2B-sqrt%2834%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%2B-sqrt%2834%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2B-sqrt%2834%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%2B-sqrt%2834%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "#4 proceeds in a similar manner </SPAN>\n" );
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