document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448687>Question 448687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 12 and the sum of their squares is 74 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308714 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=308714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 12 and the sum of their squares is 74<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "x + y = 12<BR>\n" );
document.write( "x^2 + y^2 = 74<BR>\n" );
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document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
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document.write( "x^2 + (12-x^2)^2 = 74<BR>\n" );
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document.write( "x^2 + 144 -24x^2 + x^4 = 74<BR>\n" );
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document.write( "x^4 -23x^2 + 70 = 0<BR>\n" );
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document.write( "Use the quadratic formula to find the 4 solutions.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );