document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353789>Question 353789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve by completing the square\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+7x-30=0\r<BR>\n" );
document.write( "\n" );
document.write( " what is the solution for x?? use commas to separate as needed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252902 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252902\">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=x%5E2+%2B+7x+-+30+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+-+30+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+=+30 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take 1/2 of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, square it, and <BR>\n" );
document.write( "add it to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+%2B+%287%2F2%29%5E2+=+30+%2B+%287%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+%2B+%287%2F2%29%5E2+=+30+%2B+%287%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+%2B+49%2F4+=+30+%2B+49%2F4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+%2B+49%2F4+=+30+%2B+49%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+%2B+49%2F4+=+120%2F4+%2B+49%2F4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+%2B+49%2F4+=+120%2F4+%2B+49%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+%2B+49%2F4+=+169%2F4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+%2B+49%2F4+=+169%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+7%2F2%29%5E2+=+%2813%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+7%2F2%29%5E2+=+%2813%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both sides are now perfect squares. The<BR>\n" );
document.write( "right side doesn't have to be a perfect<BR>\n" );
document.write( "square, but the solution is neater if it is.<BR>\n" );
document.write( "Now take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+7%2F2+=+13%2F2 ALIGN=MIDDLE  ALT=\"x+%2B+7%2F2+=+13%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+13%2F2+-+7%2F2 ALIGN=MIDDLE  ALT=\"x+=+13%2F2+-+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6%2F2 ALIGN=MIDDLE  ALT=\"x+=+6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Taking the (-) square root:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+7%2F2+=+-13%2F2 ALIGN=MIDDLE  ALT=\"x+%2B+7%2F2+=+-13%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-13%2F2+-+7%2F2 ALIGN=MIDDLE  ALT=\"x+=+-13%2F2+-+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-20%2F2 ALIGN=MIDDLE  ALT=\"x+=+-20%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-10 ALIGN=MIDDLE  ALT=\"x+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From these I get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+3+=+0 ALIGN=MIDDLE  ALT=\"x+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+10+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%2A%28x+%2B+10%29+=+x%5E2+%2B+7x+-+30 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%2A%28x+%2B+10%29+=+x%5E2+%2B+7x+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );