document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063258>Question 1063258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum ages of two brothers is 38.In three yrs  time the age of the elder brother is the square if the younger brother<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 #678320 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=678320\">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=system%28x%2By=38%2C%28x%2B3%29%5E2=y%2B3%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=38%2C%28x%2B3%29%5E2=y%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Any solution found must be positive real numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Age sum equation gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=38-x ALIGN=MIDDLE  ALT=\"y=38-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Substitute this into the other equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2=%2838-x%29%2B3 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2=%2838-x%29%2B3\"   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%2B6x%2B9=38-x%2B3 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B9=38-x%2B3\"   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%2B7x%2B9-38-3=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B9-38-3=0\"   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%2B7x%2B9-41=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B7x%2B9-41=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E2%2B7x-32=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E2%2B7x-32=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "General solution for quadratic equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B-+sqrt%2849-4%2A%28-32%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B-+sqrt%2849-4%2A%28-32%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B-+sqrt%28177%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B-+sqrt%28177%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B-+13.304%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B-+13.304%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The PLUS-form is needed because any solution must be a positive real number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-7%2B13.304%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-7%2B13.304%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3.152%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3.152%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------younger brother\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now find y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=38-x ALIGN=MIDDLE  ALT=\"y=38-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=38-3.152 ALIGN=MIDDLE  ALT=\"y=38-3.152\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=34.848%29 ALIGN=MIDDLE  ALT=\"highlight%28y=34.848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------older brother\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "These numbers are in years are mixed numbers in their decimal approximations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "CHECK TO BE SURE.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2=y%2B3 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2=y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.152%2B3%29%5E2=34.848%2B3 ALIGN=MIDDLE  ALT=\"%283.152%2B3%29%5E2=34.848%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.152%5E2=37.848 ALIGN=MIDDLE  ALT=\"6.152%5E2=37.848\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37.847=37.848 ALIGN=MIDDLE  ALT=\"37.847=37.848\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------close enough, okay. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );