document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271197>Question 271197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 5 more than twice the other. The sum of their squares is 325. Find the numbers.<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 #198599 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=198599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=2y+5<BR>\n" );
document.write( "x^2+y^2=325<BR>\n" );
document.write( "(2y+5)^2+y^2=325<BR>\n" );
document.write( "4y^2+20y+25+y^2=325<BR>\n" );
document.write( "5y^2+20y+25-325=0<BR>\n" );
document.write( "5y^2+20y-300=0<BR>\n" );
document.write( "5(y^2+4y-60)=0<BR>\n" );
document.write( "5(y-6)(y+10)=0<BR>\n" );
document.write( "y-6=0<BR>\n" );
document.write( "y=6 ans. x=2*6+5=12+5=17 ans.<BR>\n" );
document.write( "y+10=0<BR>\n" );
document.write( "y=-10 ans. x=2*-10+5=-20+5=-15 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "17^2+6^2=325<BR>\n" );
document.write( "289+36=325<BR>\n" );
document.write( "325=325<BR>\n" );
document.write( "-15^2-10^2=325<BR>\n" );
document.write( "225+100=325<BR>\n" );
document.write( "325=325 </SPAN>\n" );
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