document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607958>Question 607958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If ab=10 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+30 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then solve for y in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28a%2Bb%29%5E2 ALIGN=MIDDLE  ALT=\"y=%28a%2Bb%29%5E2\"   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 #382963 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=382963\">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=y=%28a%2Bb%29%5E2 ALIGN=MIDDLE  ALT=\"y=%28a%2Bb%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To better understand the solution to this, let's go ahead and multiply out the right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%5E2%2B2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"y=a%5E2%2B2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So we are supposed to figure out y from ab=10 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=30 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If we multiply both sides of ab=10 by 2 we can get a value for the middle term of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B2ab%2Bb%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2B2ab%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "2ab = 20<BR>\n" );
document.write( "Now if we add that equation to the other one we match the full expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2+=+30 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2+=+30\"   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=2ab+=+20 ALIGN=MIDDLE  ALT=\"2ab+=+20\"   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=a%5E2+%2B+2ab+%2B+b%5E2+=+50 ALIGN=MIDDLE  ALT=\"a%5E2+%2B+2ab+%2B+b%5E2+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So y equals 50! (And we know this without ever knowing what \"a\" or \"b\" are!) </SPAN>\n" );
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