document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128190>Question 128190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find 2 positive numbers whoes squares have a sum of 113 and a difference of 15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93862 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=93862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find 2 positive numbers whoes squares have a sum of 113 and a difference of 15<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "x^2 + y^2 = 113<BR>\n" );
document.write( "x^2 - y^2 = 15<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Subtract the 2nd from the 1st to get:<BR>\n" );
document.write( "2y^2 = 98<BR>\n" );
document.write( "y^2 = 49<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Substitute to solve for \"x\":<BR>\n" );
document.write( "x^2 + 49 = 113<BR>\n" );
document.write( "x^2 = 64<BR>\n" );
document.write( "x = 8<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );