document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83422>Question 83422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a value for k so that 9m ^2 - kn^2 will have the factors 3m+7n and 3m-7n  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59924 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=59924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you want factors of 3m+7n and 3m-7n  simply set up the factorization like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283m%2B7n%29%283m-7n%29 ALIGN=MIDDLE  ALT=\"%283m%2B7n%29%283m-7n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%5E2%2B21mn-21mn-49n%5E2=9m%5E2-49n%5E2 ALIGN=MIDDLE  ALT=\"9m%5E2%2B21mn-21mn-49n%5E2=9m%5E2-49n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now set the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m+%5E2+-+kn%5E2 ALIGN=MIDDLE  ALT=\"9m+%5E2+-+kn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%5E2-49n%5E2 ALIGN=MIDDLE  ALT=\"9m%5E2-49n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to solve for k\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%5E2-49n%5E2=9m+%5E2+-+kn%5E2 ALIGN=MIDDLE  ALT=\"9m%5E2-49n%5E2=9m+%5E2+-+kn%5E2\"   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=-49n%5E2=-+kn%5E2 ALIGN=MIDDLE  ALT=\"-49n%5E2=-+kn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%5E2 ALIGN=MIDDLE  ALT=\"9m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-49=-+k ALIGN=MIDDLE  ALT=\"-49=-+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   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=49=+k ALIGN=MIDDLE  ALT=\"49=+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by -1 to make k positive. So k comes to be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=49 ALIGN=MIDDLE  ALT=\"k=49\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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