document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942537>Question 942537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ages of a brother and sister are 11 and 8 years.<BR>\n" );
document.write( "In how many years' time will the product of their ages be 378?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574587 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=574587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of years from now  <BR>\n" );
document.write( "when the product of their ages is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+378+ ALIGN=MIDDLE  ALT=\"+378+\"   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=+%28+11+%2B+n+%29%2A%28+8+%2B+n+%29+=+378+ ALIGN=MIDDLE  ALT=\"+%28+11+%2B+n+%29%2A%28+8+%2B+n+%29+=+378+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+88+%2B+8n+%2B+11n+%2B+n%5E2++=+378+ ALIGN=MIDDLE  ALT=\"+88+%2B+8n+%2B+11n+%2B+n%5E2++=+378+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5E2+%2B+19n+-+290+=+0+ ALIGN=MIDDLE  ALT=\"+n%5E2+%2B+19n+-+290+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can use the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-b+%2B-+sqrt%28++b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-b+%2B-+sqrt%28++b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+19+ ALIGN=MIDDLE  ALT=\"+b+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-290+ ALIGN=MIDDLE  ALT=\"+c+=+-290+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-19+%2B-+sqrt%28++19%5E2+-+4%2A1%2A%28-290%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-19+%2B-+sqrt%28++19%5E2+-+4%2A1%2A%28-290%29+%29%29+%2F+%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-19+%2B-+sqrt%28++361+%2B+1160+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-19+%2B-+sqrt%28++361+%2B+1160+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-19+%2B-+sqrt%28++1521+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-19+%2B-+sqrt%28++1521+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+-19+%2B+39%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-19+%2B+39%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+20%2F2+ ALIGN=MIDDLE  ALT=\"+n+=+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=+n+=+10+ ALIGN=MIDDLE  ALT=\"+n+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( notice that I can only use the + square root )<BR>\n" );
document.write( "In 10 years, the product of their ages will be 378<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+11+%2B+n+%29%2A%28+8+%2B+n+%29+=+378+ ALIGN=MIDDLE  ALT=\"+%28+11+%2B+n+%29%2A%28+8+%2B+n+%29+=+378+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+11+%2B+10+%29%2A%28+8+%2B+10+%29+=+378+ ALIGN=MIDDLE  ALT=\"+%28+11+%2B+10+%29%2A%28+8+%2B+10+%29+=+378+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21%2A18+=+378+ ALIGN=MIDDLE  ALT=\"+21%2A18+=+378+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+378+=+378+ ALIGN=MIDDLE  ALT=\"+378+=+378+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );