document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953539>Question 953539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!<BR>\n" );
document.write( "The difference of two positive numbers is 2 and the sum of their squares is 74. Find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582328 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=582328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference of two positive numbers is 2 and the sum of their squares is 74. Find the numbers<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 + y^2 = 74<BR>\n" );
document.write( "x - y = 2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve for \"x\"::<BR>\n" );
document.write( "x = y+2<BR>\n" );
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document.write( "Substitute and solve for \"y\"::<BR>\n" );
document.write( "(y+2)^2 + y^2 = 74<BR>\n" );
document.write( "----<BR>\n" );
document.write( "y^2 + 4y + 4 + y^2 = 74<BR>\n" );
document.write( "2y^2 + 4y + 4 = 74<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Modify::<BR>\n" );
document.write( "y^2 + 2y - 35 = 0<BR>\n" );
document.write( "(y+7)(y-5) = 0<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "y = 5<BR>\n" );
document.write( "x = y+2 = 7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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