document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669201>Question 669201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> difference of two natural no. are 4 and the sum of their square is 58 what the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416186 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=416186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> difference of two natural no. are 4 and the sum of their square is 58 what the number<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x - y = 4<BR>\n" );
document.write( "x^2 + y^2 = 58<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "(4+y)^2 + y^2 = 58<BR>\n" );
document.write( "16 + 8y + 2y^2 = 58<BR>\n" );
document.write( "y^2 + 4y -21 = 0<BR>\n" );
document.write( "(y+7)(y-3) = 0<BR>\n" );
document.write( "Natural Number solution:<BR>\n" );
document.write( " y = 3<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Solve for \"x\"<BR>\n" );
document.write( "x = 4+y<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );