document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194618>Question 194618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I actually have five questions. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1.) What number should be added to the expression x2 + 4x to change it into a perfect square trinomial?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.) What number should be added to the expression x2 + 12x to change it into a perfect square trinomial?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3.)Solve the following equation by transforming it into a perfect square trinomial.\r<BR>\n" );
document.write( "\n" );
document.write( "x2 -  14x = 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4.)Solve the following equation by transforming it into a perfect square trinomial.\r<BR>\n" );
document.write( "\n" );
document.write( "3x2 + 18x = 21\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5.) Solve the following equation by transforming it into a perfect square trinomial.\r<BR>\n" );
document.write( "\n" );
document.write( "x2 -  2x = 3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146010 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=146010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .) What number should be added to the expression x2 + 4x to change it into a perfect square trinomial?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "take 1/2 of the coefficient of the x term and square it<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2Bhighlight%284%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2Bhighlight%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > 1/2(4)=2 and 2 squared equals 4 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "2.) What number should be added to the expression x2 + 12x to change it into a perfect square trinomial? 1/2 of 12 =6 and 6 squared is 36<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B12x%2B36 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( "3.)Solve the following equation by transforming it into a perfect square trinomial. <BR>\n" );
document.write( "x2 - 14x = 15 <BR>\n" );
document.write( "1/2(14)=7 and 7 squared is 49....so if we add 49 inside the parenthesis then we mus subtract 49 outside the parenthesis to keep equation equivilet<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-14x%2B49%29-49=15 ALIGN=MIDDLE  ALT=\"x%5E2-14x%2B49%29-49=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2=64 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "4.)Solve the following equation by transforming it into a perfect square trinomial. <BR>\n" );
document.write( "3x2 + 18x = 21 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2%2B6x%29=21 ALIGN=MIDDLE  ALT=\"3%28x%5E2%2B6x%29=21\"   DISABLED_style= \"max-width:90%; height:auto;\" > 1/2(6)=3 and 3 squared is 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2%2B6x%2B9%29-27=21 ALIGN=MIDDLE  ALT=\"3%28x%5E2%2B6x%2B9%29-27=21\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....notice that instead of creating just 9 we have to multiply this by the 3 outside the parathesis 3(9)=27 so we had to subtract 27 to keep equation equivilent<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%2B3%29%5E2=48 ALIGN=MIDDLE  ALT=\"3%28x%2B3%29%5E2=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "5) Solve the following equation by transforming it into a perfect square trinomial. <BR>\n" );
document.write( "x2 - 2x = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "take 1/2(2)=1 and 1 squared is 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-2x%2B1%29-1=3 ALIGN=MIDDLE  ALT=\"%28x%5E2-2x%2B1%29-1=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2=4 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );